2992442116400 has 240 divisors, whose sum is σ = 8015648537088. Its totient is φ = 1064229504000.

The previous prime is 2992442116397. The next prime is 2992442116427. The reversal of 2992442116400 is 46112442992.

It is a super-2 number, since 2×2992442116400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 333563915 + ... + 333572885.

Almost surely, 2^{2992442116400} is an apocalyptic number.

2992442116400 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 2992442116400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007824268544).

2992442116400 is an abundant number, since it is smaller than the sum of its proper divisors (5023206420688).

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

2992442116400 is a wasteful number, since it uses less digits than its factorization.

2992442116400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660 (or 10649 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 2992442116400 in words is "two trillion, nine hundred ninety-two billion, four hundred forty-two million, one hundred sixteen thousand, four hundred".