2400428256 has 48 divisors (see below), whose sum is σ = 6371946000. Its totient is φ = 791149568.

The previous prime is 2400428249. The next prime is 2400428269. The reversal of 2400428256 is 6528240042.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131931 + ... + 149018.

It is an arithmetic number, because the mean of its divisors is an integer number (132748875).

Almost surely, 2^2400428256 is an apocalyptic number.

It is an amenable number.

2400428256 is an abundant number, since it is smaller than the sum of its proper divisors (3971517744).

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

2400428256 is a wasteful number, since it uses less digits than its factorization.

2400428256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281051 (or 281043 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 2400428256 is about 48994.1655301935. The cubic root of 2400428256 is about 1338.9455311718.

Adding to 2400428256 its reverse (6528240042), we get a palindrome (8928668298).

The spelling of 2400428256 in words is "two billion, four hundred million, four hundred twenty-eight thousand, two hundred fifty-six".