2413113138 has 96 divisors (see below), whose sum is σ = 5587021440. Its totient is φ = 751576320.

The previous prime is 2413113137. The next prime is 2413113167. The reversal of 2413113138 is 8313113142.

2413113138 is a `hidden beast` number, since 2 + 413 + 113 + 138 = 666.

It is not an unprimeable number, because it can be changed into a prime (2413113137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1828843 + ... + 1830161.

It is an arithmetic number, because the mean of its divisors is an integer number (58198140).

Almost surely, 2^2413113138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2413113138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793510720).

2413113138 is an abundant number, since it is smaller than the sum of its proper divisors (3173908302).

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

2413113138 is a wasteful number, since it uses less digits than its factorization.

2413113138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1469 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 2413113138 is about 49123.4479449478. The cubic root of 2413113138 is about 1341.2999077315.

The spelling of 2413113138 in words is "two billion, four hundred thirteen million, one hundred thirteen thousand, one hundred thirty-eight".