2557438347552 has 144 divisors (see below), whose sum is σ = 7813117732896. Its totient is φ = 729394124800.

The previous prime is 2557438347493. The next prime is 2557438347553.

It is a happy number.

2557438347552 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2557438347553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6277974 + ... + 6672917.

It is an arithmetic number, because the mean of its divisors is an integer number (54257762034).

Almost surely, 2^{2557438347552} is an apocalyptic number.

2557438347552 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2557438347552 is an abundant number, since it is smaller than the sum of its proper divisors (5255679385344).

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

2557438347552 is a wasteful number, since it uses less digits than its factorization.

2557438347552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950943 (or 12950924 counting only the distinct ones).

The product of its digits is 141120000, while the sum is 60.

The spelling of 2557438347552 in words is "two trillion, five hundred fifty-seven billion, four hundred thirty-eight million, three hundred forty-seven thousand, five hundred fifty-two".