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2590680372 = 22373629417
BaseRepresentation
bin1001101001101010…
…1010010100110100
320200112211012100220
42122122222110310
520301203232442
61105023134340
7121125264000
oct23232522464
96615735326
102590680372
11110a40a565
126037443b0
1332395bc87
141a80d7700
1510268deec
hex9a6aa534

2590680372 has 48 divisors (see below), whose sum is σ = 7049481600. Its totient is φ = 740193216.

The previous prime is 2590680347. The next prime is 2590680377. The reversal of 2590680372 is 2730860952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2590680377) 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, 310593 + ... + 318824.

It is an arithmetic number, because the mean of its divisors is an integer number (146864200).

Almost surely, 22590680372 is an apocalyptic number.

It is an amenable number.

2590680372 is an abundant number, since it is smaller than the sum of its proper divisors (4458801228).

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

2590680372 is a wasteful number, since it uses less digits than its factorization.

2590680372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629445 (or 629429 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 2590680372 is about 50898.7266245434. The cubic root of 2590680372 is about 1373.4239346758.

The spelling of 2590680372 in words is "two billion, five hundred ninety million, six hundred eighty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 343 588 686 1029 1372 2058 4116 629417 1258834 1888251 2517668 3776502 4405919 7553004 8811838 13217757 17623676 26435514 30841433 52871028 61682866 92524299 123365732 185048598 215890031 370097196 431780062 647670093 863560124 1295340186 2590680372