2457149520 has 80 divisors (see below), whose sum is σ = 8705335680. Its totient is φ = 561633792.

The previous prime is 2457149509. The next prime is 2457149567. The reversal of 2457149520 is 259417542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729615 + ... + 732974.

It is an arithmetic number, because the mean of its divisors is an integer number (108816696).

Almost surely, 2^2457149520 is an apocalyptic number.

2457149520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2457149520 is an abundant number, since it is smaller than the sum of its proper divisors (6248186160).

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

2457149520 is a wasteful number, since it uses less digits than its factorization.

2457149520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1462612 (or 1462606 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2457149520 is about 49569.6431296414. The cubic root of 2457149520 is about 1349.4098051155.

The spelling of 2457149520 in words is "two billion, four hundred fifty-seven million, one hundred forty-nine thousand, five hundred twenty".