2457827521920 has 128 divisors (see below), whose sum is σ = 8704805868000. Its totient is φ = 655420667904.

The previous prime is 2457827521913. The next prime is 2457827521939. The reversal of 2457827521920 is 291257287542.

It is a happy number.

2457827521920 is a `hidden beast` number, since 2 + 4 + 5 + 7 + 8 + 27 + 521 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2457827521920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71100415 + ... + 71134974.

Almost surely, 2^{2457827521920} is an apocalyptic number.

2457827521920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2457827521920 is an abundant number, since it is smaller than the sum of its proper divisors (6246978346080).

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

2457827521920 is a wasteful number, since it uses less digits than its factorization.

2457827521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142235417 (or 142235399 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 2457827521920 in words is "two trillion, four hundred fifty-seven billion, eight hundred twenty-seven million, five hundred twenty-one thousand, nine hundred twenty".