257442249024 has 56 divisors (see below), whose sum is σ = 756832542720. Its totient is φ = 85814082432.

The previous prime is 257442248909. The next prime is 257442249037. The reversal of 257442249024 is 420942244752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74489664 + ... + 74493119.

Almost surely, 2^257442249024 is an apocalyptic number.

257442249024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257442249024 is an abundant number, since it is smaller than the sum of its proper divisors (499390293696).

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

257442249024 is a wasteful number, since it uses less digits than its factorization.

257442249024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148982804 (or 148982788 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 257442249024 in words is "two hundred fifty-seven billion, four hundred forty-two million, two hundred forty-nine thousand, twenty-four".