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2573340640 = 255131996217
BaseRepresentation
bin1001100101100010…
…0000111111100000
320122100012020201121
42121120200333200
520232233400030
61103203342024
7120525014563
oct23130407740
96570166647
102573340640
111100646a02
125b9981914
1332019a690
141a5aa24da
15100db647a
hex99620fe0

2573340640 has 96 divisors (see below), whose sum is σ = 6581131200. Its totient is φ = 945229824.

The previous prime is 2573340613. The next prime is 2573340647. The reversal of 2573340640 is 460433752.

It is a junction number, because it is equal to n+sod(n) for n = 2573340596 and 2573340605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2573340647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 410812 + ... + 417028.

It is an arithmetic number, because the mean of its divisors is an integer number (68553450).

Almost surely, 22573340640 is an apocalyptic number.

2573340640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573340640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290565600).

2573340640 is an abundant number, since it is smaller than the sum of its proper divisors (4007790560).

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

2573340640 is a wasteful number, since it uses less digits than its factorization.

2573340640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6444 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 2573340640 is about 50728.1050306435. The cubic root of 2573340640 is about 1370.3529095983.

The spelling of 2573340640 in words is "two billion, five hundred seventy-three million, three hundred forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 199 208 260 398 416 520 796 995 1040 1592 1990 2080 2587 3184 3980 5174 6217 6368 7960 10348 12434 12935 15920 20696 24868 25870 31085 31840 41392 49736 51740 62170 80821 82784 99472 103480 124340 161642 198944 206960 248680 323284 404105 413920 497360 646568 808210 994720 1237183 1293136 1616420 2474366 2586272 3232840 4948732 6185915 6465680 9897464 12371830 12931360 16083379 19794928 24743660 32166758 39589856 49487320 64333516 80416895 98974640 128667032 160833790 197949280 257334064 321667580 514668128 643335160 1286670320 2573340640