2560538904 has 128 divisors (see below), whose sum is σ = 8144064000. Its totient is φ = 665051520.

The previous prime is 2560538891. The next prime is 2560538921. The reversal of 2560538904 is 4098350652.

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

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, 76414 + ... + 104690.

It is an arithmetic number, because the mean of its divisors is an integer number (63625500).

Almost surely, 2^2560538904 is an apocalyptic number.

2560538904 is a gapful number since it is divisible by the number (24) 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 2560538904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4072032000).

2560538904 is an abundant number, since it is smaller than the sum of its proper divisors (5583525096).

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

2560538904 is a wasteful number, since it uses less digits than its factorization.

2560538904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28318 (or 28300 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 2560538904 is about 50601.7677952065. The cubic root of 2560538904 is about 1368.0767415312.

The spelling of 2560538904 in words is "two billion, five hundred sixty million, five hundred thirty-eight thousand, nine hundred four".