2992270694400 has 864 divisors, whose sum is σ = 12219977558880. Its totient is φ = 693208350720.

The previous prime is 2992270694353. The next prime is 2992270694423. The reversal of 2992270694400 is 44960722992.

2992270694400 is a `hidden beast` number, since 2 + 9 + 9 + 227 + 0 + 6 + 9 + 4 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101822109 + ... + 101851491.

It is an arithmetic number, because the mean of its divisors is an integer number (14143492545).

Almost surely, 2^{2992270694400} is an apocalyptic number.

2992270694400 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 2992270694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6109988779440).

2992270694400 is an abundant number, since it is smaller than the sum of its proper divisors (9227706864480).

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

2992270694400 is a wasteful number, since it uses less digits than its factorization.

2992270694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29451 (or 29423 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 2992270694400 in words is "two trillion, nine hundred ninety-two billion, two hundred seventy million, six hundred ninety-four thousand, four hundred".