2156626814400 has 840 divisors, whose sum is σ = 8245971539520. Its totient is φ = 552377180160.

The previous prime is 2156626814339. The next prime is 2156626814411. The reversal of 2156626814400 is 44186266512.

It is a happy number.

2156626814400 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 626 + 8 + 14 + 4 + 0 + 0 = 666.

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 378817954 + ... + 378823646.

Almost surely, 2^{2156626814400} is an apocalyptic number.

2156626814400 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 2156626814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122985769760).

2156626814400 is an abundant number, since it is smaller than the sum of its proper divisors (6089344725120).

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

2156626814400 is a wasteful number, since it uses less digits than its factorization.

2156626814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5819 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 2156626814400 in words is "two trillion, one hundred fifty-six billion, six hundred twenty-six million, eight hundred fourteen thousand, four hundred".