2113926781824 has 576 divisors, whose sum is σ = 7452124243200. Its totient is φ = 591292016640.

The previous prime is 2113926781819. The next prime is 2113926781847. The reversal of 2113926781824 is 4281876293112.

2113926781824 is a `hidden beast` number, since 2 + 1 + 1 + 392 + 6 + 78 + 182 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57804057 + ... + 57840615.

It is an arithmetic number, because the mean of its divisors is an integer number (12937715700).

Almost surely, 2^{2113926781824} is an apocalyptic number.

2113926781824 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 2113926781824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3726062121600).

2113926781824 is an abundant number, since it is smaller than the sum of its proper divisors (5338197461376).

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

2113926781824 is a wasteful number, since it uses less digits than its factorization.

2113926781824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36625 (or 36588 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 2113926781824 in words is "two trillion, one hundred thirteen billion, nine hundred twenty-six million, seven hundred eighty-one thousand, eight hundred twenty-four".