2413833480 has 64 divisors (see below), whose sum is σ = 8046115200. Its totient is φ = 643688640.

The previous prime is 2413833469. The next prime is 2413833493. The reversal of 2413833480 is 843383142.

It is a happy number.

2413833480 is a `hidden beast` number, since 241 + 3 + 8 + 334 + 80 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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 15 ways as a sum of consecutive naturals, for example, 1116436 + ... + 1118595.

It is an arithmetic number, because the mean of its divisors is an integer number (125720550).

Almost surely, 2^2413833480 is an apocalyptic number.

2413833480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2413833480 is an abundant number, since it is smaller than the sum of its proper divisors (5632281720).

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

2413833480 is a wasteful number, since it uses less digits than its factorization.

2413833480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235051 (or 2235041 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2413833480 is about 49130.7793546978. The cubic root of 2413833480 is about 1341.4333589317.

The spelling of 2413833480 in words is "two billion, four hundred thirteen million, eight hundred thirty-three thousand, four hundred eighty".