2156406892920 has 768 divisors, whose sum is σ = 8447576417280. Its totient is φ = 484575436800.

The previous prime is 2156406892877. The next prime is 2156406892943. The reversal of 2156406892920 is 292986046512.

2156406892920 is a `hidden beast` number, since 2 + 156 + 406 + 89 + 2 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×2156406892920² (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1007195050 + ... + 1007197190.

It is an arithmetic number, because the mean of its divisors is an integer number (10999448460).

Almost surely, 2^{2156406892920} is an apocalyptic number.

2156406892920 is a gapful number since it is divisible by the number (20) 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 2156406892920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4223788208640).

2156406892920 is an abundant number, since it is smaller than the sum of its proper divisors (6291169524360).

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

2156406892920 is a wasteful number, since it uses less digits than its factorization.

2156406892920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2402 counting only the distinct ones).

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

The spelling of 2156406892920 in words is "two trillion, one hundred fifty-six billion, four hundred six million, eight hundred ninety-two thousand, nine hundred twenty".