2156467420800 has 2592 divisors, whose sum is σ = 10031195423340. Its totient is φ = 439404134400.

The previous prime is 2156467420787. The next prime is 2156467420819. The reversal of 2156467420800 is 80247646512.

2156467420800 is a `hidden beast` number, since 2 + 1 + 564 + 6 + 7 + 4 + 2 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1359761223744 + 796706197056 = 1166088^2 + 892584^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 323 ways as a sum of consecutive naturals, for example, 12465129514 + ... + 12465129686.

Almost surely, 2^{2156467420800} is an apocalyptic number.

2156467420800 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 2156467420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015597711670).

2156467420800 is an abundant number, since it is smaller than the sum of its proper divisors (7874728002540).

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

2156467420800 is a wasteful number, since it uses less digits than its factorization.

2156467420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2156467420800 in words is "two trillion, one hundred fifty-six billion, four hundred sixty-seven million, four hundred twenty thousand, eight hundred".