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2572925040 = 243357170167
BaseRepresentation
bin1001100101011011…
…1011100001110000
320122022102010122000
42121112323201300
520232132100130
61103150414000
7120521334120
oct23126734160
96568363560
102572925040
111100392734
125b9801300
1332008346a
141a59d4c80
15100d33260
hex995bb870

2572925040 has 160 divisors (see below), whose sum is σ = 10128399360. Its totient is φ = 588093696.

The previous prime is 2572924961. The next prime is 2572925063. The reversal of 2572925040 is 405292752.

It is a happy number.

2572925040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25729250402 = 13239886522918003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2572924986 and 2572925004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69964 + ... + 100203.

It is an arithmetic number, because the mean of its divisors is an integer number (63302496).

Almost surely, 22572925040 is an apocalyptic number.

2572925040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2572925040 is an abundant number, since it is smaller than the sum of its proper divisors (7555474320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2572925040 is a wasteful number, since it uses less digits than its factorization.

2572925040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170196 (or 170184 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 2572925040 is about 50724.0085166778. The cubic root of 2572925040 is about 1370.2791339877.

The spelling of 2572925040 in words is "two billion, five hundred seventy-two million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 170167 340334 510501 680668 850835 1021002 1191169 1361336 1531503 1701670 2042004 2382338 2552505 2722672 3063006 3403340 3573507 4084008 4594509 4764676 5105010 5955845 6126012 6806680 7147014 7657515 8168016 9189018 9529352 10210020 10720521 11911690 12252024 13613360 14294028 15315030 17867535 18378036 19058704 20420040 21441042 22972545 23823380 24504048 28588056 30630060 32161563 35735070 36756072 40840080 42882084 45945090 47646760 53602605 57176112 61260120 64323126 71470140 73512144 85764168 91890180 95293520 107205210 122520240 128646252 142940280 160807815 171528336 183780360 214410420 257292504 285880560 321615630 367560720 428820840 514585008 643231260 857641680 1286462520 2572925040