2557631109072 has 120 divisors (see below), whose sum is σ = 7156992173184. Its totient is φ = 786695549952.

The previous prime is 2557631109071. The next prime is 2557631109079. The reversal of 2557631109072 is 2709011367552.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2557631109071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24470428 + ... + 24574724.

Almost surely, 2^{2557631109072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2557631109072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3578496086592).

2557631109072 is an abundant number, since it is smaller than the sum of its proper divisors (4599361064112).

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

2557631109072 is a wasteful number, since it uses less digits than its factorization.

2557631109072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107357 (or 107338 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 2557631109072 in words is "two trillion, five hundred fifty-seven billion, six hundred thirty-one million, one hundred nine thousand, seventy-two".