2418634464 has 48 divisors (see below), whose sum is σ = 6410581632. Its totient is φ = 798380928.

The previous prime is 2418634457. The next prime is 2418634531. The reversal of 2418634464 is 4644368142.

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

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 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, 112414 + ... + 132189.

It is an arithmetic number, because the mean of its divisors is an integer number (133553784).

Almost surely, 2^2418634464 is an apocalyptic number.

2418634464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2418634464 is an abundant number, since it is smaller than the sum of its proper divisors (3991947168).

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

2418634464 is a wasteful number, since it uses less digits than its factorization.

2418634464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244719 (or 244711 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The square root of 2418634464 is about 49179.6143132498. The cubic root of 2418634464 is about 1342.3221160508.

The spelling of 2418634464 in words is "two billion, four hundred eighteen million, six hundred thirty-four thousand, four hundred sixty-four".