2992868375040 has 480 divisors, whose sum is σ = 11286957052800. Its totient is φ = 730017792000.

The previous prime is 2992868374997. The next prime is 2992868375041. The reversal of 2992868375040 is 405738682992.

2992868375040 is a `hidden beast` number, since 2 + 9 + 92 + 8 + 6 + 8 + 37 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2992868375040² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2992868375041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12577165 + ... + 12812915.

It is an arithmetic number, because the mean of its divisors is an integer number (23514493860).

Almost surely, 2^{2992868375040} is an apocalyptic number.

2992868375040 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 2992868375040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5643478526400).

2992868375040 is an abundant number, since it is smaller than the sum of its proper divisors (8294088677760).

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

2992868375040 is a wasteful number, since it uses less digits than its factorization.

2992868375040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235828 (or 235809 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 2992868375040 in words is "two trillion, nine hundred ninety-two billion, eight hundred sixty-eight million, three hundred seventy-five thousand, forty".