2992540170816 has 315 divisors, whose sum is σ = 10013383868163. Its totient is φ = 854430232320.

The previous prime is 2992540170793. The next prime is 2992540170821. The reversal of 2992540170816 is 6180710452992.

It is a happy number.

The square root of 2992540170816 is 1729896.

It is a perfect power (a square), and thus also a powerful number.

2992540170816 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 540 + 17 + 0 + 81 + 6 = 666.

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 44 ways as a sum of consecutive naturals, for example, 2034356961 + ... + 2034358431.

Almost surely, 2^{2992540170816} is an apocalyptic number.

2992540170816 is the 1729896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992540170816

2992540170816 is an abundant number, since it is smaller than the sum of its proper divisors (7020843697347).

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

2992540170816 is an frugal number, since it uses more digits than its factorization.

2992540170816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2992540170816 in words is "two trillion, nine hundred ninety-two billion, five hundred forty million, one hundred seventy thousand, eight hundred sixteen".