2556735104 has 128 divisors (see below), whose sum is σ = 6396624000. Its totient is φ = 988876800.

The previous prime is 2556735079. The next prime is 2556735107. The reversal of 2556735104 is 4015376552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2556735107) 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, 1467674 + ... + 1469414.

It is an arithmetic number, because the mean of its divisors is an integer number (49973625).

Almost surely, 2^2556735104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2556735104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3198312000).

2556735104 is an abundant number, since it is smaller than the sum of its proper divisors (3839888896).

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

2556735104 is a wasteful number, since it uses less digits than its factorization.

2556735104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 38.

The square root of 2556735104 is about 50564.1681826172. The cubic root of 2556735104 is about 1367.3989585192.

The spelling of 2556735104 in words is "two billion, five hundred fifty-six million, seven hundred thirty-five thousand, one hundred four".