2192866790400 has 3168 divisors, whose sum is σ = 10111532820480. Its totient is φ = 445906944000.

The previous prime is 2192866790399. The next prime is 2192866790423. The reversal of 2192866790400 is 40976682912.

2192866790400 is a `hidden beast` number, since 2 + 1 + 92 + 8 + 6 + 67 + 90 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19405900744 + ... + 19405900856.

Almost surely, 2^{2192866790400} is an apocalyptic number.

2192866790400 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 2192866790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055766410240).

2192866790400 is an abundant number, since it is smaller than the sum of its proper divisors (7918666030080).

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

2192866790400 is a wasteful number, since it uses less digits than its factorization.

2192866790400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 2192866790400 in words is "two trillion, one hundred ninety-two billion, eight hundred sixty-six million, seven hundred ninety thousand, four hundred".