2555551242400 has 72 divisors (see below), whose sum is σ = 6718642534044. Its totient is φ = 943588147200.

The previous prime is 2555551242359. The next prime is 2555551242401. The reversal of 2555551242400 is 42421555552.

It can be written as a sum of positive squares in 6 ways, for example, as 602120129296 + 1953431113104 = 775964^2 + 1397652^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2555551242401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122852641 + ... + 122873440.

Almost surely, 2^{2555551242400} is an apocalyptic number.

2555551242400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2555551242400 is an abundant number, since it is smaller than the sum of its proper divisors (4163091291644).

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

2555551242400 is a wasteful number, since it uses less digits than its factorization.

2555551242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245726114 (or 245726101 counting only the distinct ones).

The product of its (nonzero) digits is 400000, while the sum is 40.

Adding to 2555551242400 its reverse (42421555552), we get a palindrome (2597972797952).

The spelling of 2555551242400 in words is "two trillion, five hundred fifty-five billion, five hundred fifty-one million, two hundred forty-two thousand, four hundred".