2558632795400 has 48 divisors (see below), whose sum is σ = 6489623186640. Its totient is φ = 930411924800.

The previous prime is 2558632795361. The next prime is 2558632795463. The reversal of 2558632795400 is 45972368552.

It is a happy number.

It is a super-2 number, since 2×2558632795400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 581505254 + ... + 581509653.

It is an arithmetic number, because the mean of its divisors is an integer number (135200483055).

Almost surely, 2^{2558632795400} is an apocalyptic number.

2558632795400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2558632795400 is an abundant number, since it is smaller than the sum of its proper divisors (3930990391240).

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

2558632795400 is a wasteful number, since it uses less digits than its factorization.

2558632795400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163014934 (or 1163014925 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 56.

The spelling of 2558632795400 in words is "two trillion, five hundred fifty-eight billion, six hundred thirty-two million, seven hundred ninety-five thousand, four hundred".