2166013472400 has 960 divisors, whose sum is σ = 8541636157440. Its totient is φ = 518538240000.

The previous prime is 2166013472369. The next prime is 2166013472411. The reversal of 2166013472400 is 42743106612.

2166013472400 is a `hidden beast` number, since 2 + 1 + 6 + 601 + 3 + 4 + 7 + 2 + 40 + 0 = 666.

It is a super-2 number, since 2×2166013472400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2884172025 + ... + 2884172775.

It is an arithmetic number, because the mean of its divisors is an integer number (8897537664).

Almost surely, 2^{2166013472400} is an apocalyptic number.

2166013472400 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 2166013472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270818078720).

2166013472400 is an abundant number, since it is smaller than the sum of its proper divisors (6375622685040).

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

2166013472400 is a wasteful number, since it uses less digits than its factorization.

2166013472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 2166013472400 in words is "two trillion, one hundred sixty-six billion, thirteen million, four hundred seventy-two thousand, four hundred".