2162726092800 has 2160 divisors, whose sum is σ = 9986469366720. Its totient is φ = 454825082880.

The previous prime is 2162726092799. The next prime is 2162726092811. The reversal of 2162726092800 is 82906272612.

2162726092800 is a `hidden beast` number, since 2 + 16 + 2 + 7 + 2 + 609 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 143 ways as a sum of consecutive naturals, for example, 7044710247 + ... + 7044710553.

Almost surely, 2^{2162726092800} is an apocalyptic number.

2162726092800 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 2162726092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993234683360).

2162726092800 is an abundant number, since it is smaller than the sum of its proper divisors (7823743273920).

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

2162726092800 is a wasteful number, since it uses less digits than its factorization.

2162726092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 2162726092800 in words is "two trillion, one hundred sixty-two billion, seven hundred twenty-six million, ninety-two thousand, eight hundred".