2120246111664 has 120 divisors (see below), whose sum is σ = 5965521307200. Its totient is φ = 702971568000.

The previous prime is 2120246111617. The next prime is 2120246111713. The reversal of 2120246111664 is 4661116420212.

2120246111664 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 24 + 611 + 16 + 6 + 4 = 666.

It is a super-2 number, since 2×2120246111664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 26670727 + ... + 26750105.

It is an arithmetic number, because the mean of its divisors is an integer number (49712677560).

Almost surely, 2^{2120246111664} is an apocalyptic number.

2120246111664 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 2120246111664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2982760653600).

2120246111664 is an abundant number, since it is smaller than the sum of its proper divisors (3845275195536).

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

2120246111664 is a wasteful number, since it uses less digits than its factorization.

2120246111664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80383 (or 80374 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 2120246111664 in words is "two trillion, one hundred twenty billion, two hundred forty-six million, one hundred eleven thousand, six hundred sixty-four".