2457093408 has 96 divisors (see below), whose sum is σ = 8041420800. Its totient is φ = 638204160.

The previous prime is 2457093407. The next prime is 2457093413. The reversal of 2457093408 is 8043907542.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2457093408.

It is not an unprimeable number, because it can be changed into a prime (2457093407) by changing a digit.

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, 158808 + ... + 173591.

It is an arithmetic number, because the mean of its divisors is an integer number (83764800).

Almost surely, 2^2457093408 is an apocalyptic number.

2457093408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2457093408 is an abundant number, since it is smaller than the sum of its proper divisors (5584327392).

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

2457093408 is a wasteful number, since it uses less digits than its factorization.

2457093408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332430 (or 332422 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2457093408 is about 49569.0771348428. The cubic root of 2457093408 is about 1349.3995332322.

The spelling of 2457093408 in words is "two billion, four hundred fifty-seven million, ninety-three thousand, four hundred eight".