2013924564 has 36 divisors (see below), whose sum is σ = 5155200960. Its totient is φ = 662809680.

The previous prime is 2013924559. The next prime is 2013924569. The reversal of 2013924564 is 4654293102.

It is a happy number.

2013924564 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 92 + 4 + 564 = 666.

It is an interprime number because it is at equal distance from previous prime (2013924559) and next prime (2013924569).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2013924564³ (a number of 29 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013924569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 351222 + ... + 356909.

Almost surely, 2^2013924564 is an apocalyptic number.

It is an amenable number.

2013924564 is an abundant number, since it is smaller than the sum of its proper divisors (3141276396).

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

2013924564 is a wasteful number, since it uses less digits than its factorization.

2013924564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708220 (or 708215 counting only the distinct ones).

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

The square root of 2013924564 is about 44876.7708731366. The cubic root of 2013924564 is about 1262.8382653899.

The spelling of 2013924564 in words is "two billion, thirteen million, nine hundred twenty-four thousand, five hundred sixty-four".