2013629540724 has 18 divisors (see below), whose sum is σ = 5090008005810. Its totient is φ = 671209846896.

The previous prime is 2013629540669. The next prime is 2013629540731. The reversal of 2013629540724 is 4270459263102.

2013629540724 is a `hidden beast` number, since 2 + 0 + 1 + 36 + 2 + 9 + 540 + 72 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1977117210000 + 36512330724 = 1406100^2 + 191082^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2013629540724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27967076919 + ... + 27967076990.

It is an arithmetic number, because the mean of its divisors is an integer number (282778222545).

Almost surely, 2^{2013629540724} is an apocalyptic number.

It is an amenable number.

2013629540724 is an abundant number, since it is smaller than the sum of its proper divisors (3076378465086).

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

2013629540724 is a wasteful number, since it uses less digits than its factorization.

2013629540724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55934153919 (or 55934153914 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 2013629540724 in words is "two trillion, thirteen billion, six hundred twenty-nine million, five hundred forty thousand, seven hundred twenty-four".