2400857668 has 96 divisors (see below), whose sum is σ = 4905556992. Its totient is φ = 1017456000.

The previous prime is 2400857663. The next prime is 2400857671. The reversal of 2400857668 is 8667580042.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (2400857663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8483455 + ... + 8483737.

It is an arithmetic number, because the mean of its divisors is an integer number (51099552).

Almost surely, 2^2400857668 is an apocalyptic number.

It is an amenable number.

2400857668 is an abundant number, since it is smaller than the sum of its proper divisors (2504699324).

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

2400857668 is a wasteful number, since it uses less digits than its factorization.

2400857668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The square root of 2400857668 is about 48998.5476111282. The cubic root of 2400857668 is about 1339.0253676198.

It can be divided in two parts, 2400 and 857668, that added together give a palindrome (860068).

The spelling of 2400857668 in words is "two billion, four hundred million, eight hundred fifty-seven thousand, six hundred sixty-eight".