2556242400 has 144 divisors (see below), whose sum is σ = 8810154864. Its totient is φ = 641556480.

The previous prime is 2556242369. The next prime is 2556242413. The reversal of 2556242400 is 42426552.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9474 + ... + 72126.

It is an arithmetic number, because the mean of its divisors is an integer number (61181631).

Almost surely, 2^2556242400 is an apocalyptic number.

2556242400 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 2556242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4405077432).

2556242400 is an abundant number, since it is smaller than the sum of its proper divisors (6253912464).

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

2556242400 is a wasteful number, since it uses less digits than its factorization.

2556242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62693 (or 62680 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2556242400 is about 50559.2958811730. The cubic root of 2556242400 is about 1367.3111165136.

Adding to 2556242400 its reverse (42426552), we get a palindrome (2598668952).

The spelling of 2556242400 in words is "two billion, five hundred fifty-six million, two hundred forty-two thousand, four hundred".