2457052128 has 144 divisors (see below), whose sum is σ = 7158243456. Its totient is φ = 799223040.

The previous prime is 2457052093. The next prime is 2457052139. The reversal of 2457052128 is 8212507542.

It is a happy number.

2457052128 is a `hidden beast` number, since 2 + 45 + 70 + 521 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2457052092 and 2457052101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2187375 + ... + 2188497.

It is an arithmetic number, because the mean of its divisors is an integer number (49710024).

Almost surely, 2^2457052128 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 2457052128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579121728).

2457052128 is an abundant number, since it is smaller than the sum of its proper divisors (4701191328).

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

2457052128 is a wasteful number, since it uses less digits than its factorization.

2457052128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 2457052128 is about 49568.6607444664. The cubic root of 2457052128 is about 1349.3919764004.

The spelling of 2457052128 in words is "two billion, four hundred fifty-seven million, fifty-two thousand, one hundred twenty-eight".