2113770393504 has 1440 divisors, whose sum is σ = 8495698115520. Its totient is φ = 507915878400.

The previous prime is 2113770393499. The next prime is 2113770393577. The reversal of 2113770393504 is 4053930773112.

2113770393504 is a `hidden beast` number, since 2 + 1 + 137 + 7 + 0 + 3 + 9 + 3 + 504 = 666.

It is a super-3 number, since 3×2113770393504³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2113770393504.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1448779527 + ... + 1448780985.

It is an arithmetic number, because the mean of its divisors is an integer number (5899790358).

Almost surely, 2^{2113770393504} is an apocalyptic number.

2113770393504 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 2113770393504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247849057760).

2113770393504 is an abundant number, since it is smaller than the sum of its proper divisors (6381927722016).

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

2113770393504 is a wasteful number, since it uses less digits than its factorization.

2113770393504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 2113770393504 in words is "two trillion, one hundred thirteen billion, seven hundred seventy million, three hundred ninety-three thousand, five hundred four".