2413626264 has 48 divisors (see below), whose sum is σ = 7470749520. Its totient is φ = 689607360.

The previous prime is 2413626227. The next prime is 2413626277. The reversal of 2413626264 is 4626263142.

2413626264 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 626 + 26 + 4 = 666.

2413626264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2393967 + ... + 2394974.

It is an arithmetic number, because the mean of its divisors is an integer number (155640615).

Almost surely, 2^2413626264 is an apocalyptic number.

2413626264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2413626264 is an abundant number, since it is smaller than the sum of its proper divisors (5057123256).

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

2413626264 is a wasteful number, since it uses less digits than its factorization.

2413626264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4788960 (or 4788953 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 2413626264 is about 49128.6704888296. The cubic root of 2413626264 is about 1341.3949726316.

The spelling of 2413626264 in words is "two billion, four hundred thirteen million, six hundred twenty-six thousand, two hundred sixty-four".