2600645760 has 192 divisors, whose sum is σ = 9290619000. Its totient is φ = 669548544.

The previous prime is 2600645759. The next prime is 2600645791. The reversal of 2600645760 is 675460062.

2600645760 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 645 + 7 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1969229376 + 631416384 = 44376^2 + 25128^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159256 + ... + 174824.

Almost surely, 2^2600645760 is an apocalyptic number.

2600645760 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 2600645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4645309500).

2600645760 is an abundant number, since it is smaller than the sum of its proper divisors (6689973240).

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

2600645760 is a wasteful number, since it uses less digits than its factorization.

2600645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15623 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2600645760 is about 50996.5269405672. The cubic root of 2600645760 is about 1375.1826992494.

The spelling of 2600645760 in words is "two billion, six hundred million, six hundred forty-five thousand, seven hundred sixty".