2560562400 has 288 divisors, whose sum is σ = 9489892608. Its totient is φ = 593612800.

The previous prime is 2560562369. The next prime is 2560562449. The reversal of 2560562400 is 42650652.

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 47 ways as a sum of consecutive naturals, for example, 605092 + ... + 609308.

It is an arithmetic number, because the mean of its divisors is an integer number (32951016).

Almost surely, 2^2560562400 is an apocalyptic number.

2560562400 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 2560562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744946304).

2560562400 is an abundant number, since it is smaller than the sum of its proper divisors (6929330208).

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

2560562400 is a wasteful number, since it uses less digits than its factorization.

2560562400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4261 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2560562400 is about 50601.9999604759. Note that the first 4 decimals coincide. The cubic root of 2560562400 is about 1368.0809260973.

The spelling of 2560562400 in words is "two billion, five hundred sixty million, five hundred sixty-two thousand, four hundred".