2413940256 has 144 divisors (see below), whose sum is σ = 8448882624. Its totient is φ = 636636672.

The previous prime is 2413940227. The next prime is 2413940267. The reversal of 2413940256 is 6520493142.

It is a happy number.

2413940256 is a `hidden beast` number, since 241 + 3 + 9 + 402 + 5 + 6 = 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 self number, because there is not a number n which added to its sum of digits gives 2413940256.

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, 19846 + ... + 72261.

It is an arithmetic number, because the mean of its divisors is an integer number (58672796).

Almost surely, 2^2413940256 is an apocalyptic number.

2413940256 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2413940256 is an abundant number, since it is smaller than the sum of its proper divisors (6034942368).

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

2413940256 is a wasteful number, since it uses less digits than its factorization.

2413940256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92143 (or 92132 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2413940256 is about 49131.8659934670. The cubic root of 2413940256 is about 1341.4531380891.

The spelling of 2413940256 in words is "two billion, four hundred thirteen million, nine hundred forty thousand, two hundred fifty-six".