2120413594896 has 315 divisors, whose sum is σ = 6268887877941. Its totient is φ = 694485384192.

The previous prime is 2120413594879. The next prime is 2120413594921. The reversal of 2120413594896 is 6984953140212.

It is a happy number.

The square root of 2120413594896 is 1456164.

It is a perfect power (a square), and thus also a powerful number.

2120413594896 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 41 + 3 + 594 + 8 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 952146608400 + 1168266986496 = 975780^2 + 1080864^2 .

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

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 62 ways as a sum of consecutive naturals, for example, 15254773995 + ... + 15254774133.

Almost surely, 2^{2120413594896} is an apocalyptic number.

2120413594896 is the 1456164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120413594896

2120413594896 is an abundant number, since it is smaller than the sum of its proper divisors (4148474283045).

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

2120413594896 is an frugal number, since it uses more digits than its factorization.

2120413594896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

It can be divided in two parts, 21204 and 13594896, that added together give a square (13616100 = 3690²).

The spelling of 2120413594896 in words is "two trillion, one hundred twenty billion, four hundred thirteen million, five hundred ninety-four thousand, eight hundred ninety-six".