2992401037080 has 1344 divisors, whose sum is σ = 12829919054400. Its totient is φ = 622196951040.

The previous prime is 2992401037057. The next prime is 2992401037097. The reversal of 2992401037080 is 807301042992.

2992401037080 is a `hidden beast` number, since 29 + 9 + 240 + 10 + 370 + 8 + 0 = 666.

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

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1318818186 + ... + 1318820454.

It is an arithmetic number, because the mean of its divisors is an integer number (9546070725).

Almost surely, 2^{2992401037080} is an apocalyptic number.

2992401037080 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 2992401037080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6414959527200).

2992401037080 is an abundant number, since it is smaller than the sum of its proper divisors (9837518017320).

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

2992401037080 is a wasteful number, since it uses less digits than its factorization.

2992401037080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2396 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2992401037080 in words is "two trillion, nine hundred ninety-two billion, four hundred one million, thirty-seven thousand, eighty".