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2740463040 = 26357407807
BaseRepresentation
bin1010001101011000…
…0010010111000000
321001222122221120010
42203112002113000
521103024304130
61131533344520
7124624360110
oct24326022700
97058587503
102740463040
111186a13497
12645938140
133489b2c83
141bdd67040
151108c90b0
hexa35825c0

2740463040 has 112 divisors (see below), whose sum is σ = 9943990272. Its totient is φ = 626390016.

The previous prime is 2740463039. The next prime is 2740463051. The reversal of 2740463040 is 403640472.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2740462989 and 2740463007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197184 + ... + 210623.

Almost surely, 22740463040 is an apocalyptic number.

2740463040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2740463040 is an abundant number, since it is smaller than the sum of its proper divisors (7203527232).

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

2740463040 is a wasteful number, since it uses less digits than its factorization.

2740463040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407834 (or 407824 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 2740463040 is about 52349.4320886101. The cubic root of 2740463040 is about 1399.3982175546.

The spelling of 2740463040 in words is "two billion, seven hundred forty million, four hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 407807 815614 1223421 1631228 2039035 2446842 2854649 3262456 4078070 4893684 5709298 6117105 6524912 8156140 8563947 9787368 11418596 12234210 13049824 14273245 16312280 17127894 19574736 22837192 24468420 26099648 28546490 32624560 34255788 39149472 42819735 45674384 48936840 57092980 65249120 68511576 78298944 85639470 91348768 97873680 114185960 130498240 137023152 171278940 182697536 195747360 228371920 274046304 342557880 391494720 456743840 548092608 685115760 913487680 1370231520 2740463040