2113713504 has 288 divisors, whose sum is σ = 7230263040. Its totient is φ = 573060096.

The previous prime is 2113713487. The next prime is 2113713529. The reversal of 2113713504 is 4053173112.

2113713504 is a `hidden beast` number, since 21 + 137 + 1 + 3 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3207127 + ... + 3207785.

It is an arithmetic number, because the mean of its divisors is an integer number (25105080).

Almost surely, 2^2113713504 is an apocalyptic number.

2113713504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2113713504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615131520).

2113713504 is an abundant number, since it is smaller than the sum of its proper divisors (5116549536).

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

2113713504 is a wasteful number, since it uses less digits than its factorization.

2113713504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 2113713504 is about 45975.1400650395. The cubic root of 2113713504 is about 1283.3606156603.

Adding to 2113713504 its reverse (4053173112), we get a palindrome (6166886616).

The spelling of 2113713504 in words is "two billion, one hundred thirteen million, seven hundred thirteen thousand, five hundred four".