2992728746304 has 504 divisors, whose sum is σ = 9776493909000. Its totient is φ = 873594839040.

The previous prime is 2992728746297. The next prime is 2992728746383. The reversal of 2992728746304 is 4036478272992.

2992728746304 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 7 + 287 + 46 + 304 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1481186361600 + 1511542384704 = 1217040^2 + 1229448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1028781202 + ... + 1028784110.

It is an arithmetic number, because the mean of its divisors is an integer number (19397805375).

Almost surely, 2^{2992728746304} is an apocalyptic number.

2992728746304 is a gapful number since it is divisible by the number (24) 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 2992728746304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4888246954500).

2992728746304 is an abundant number, since it is smaller than the sum of its proper divisors (6783765162696).

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

2992728746304 is a wasteful number, since it uses less digits than its factorization.

2992728746304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3487 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 2992728746304 in words is "two trillion, nine hundred ninety-two billion, seven hundred twenty-eight million, seven hundred forty-six thousand, three hundred four".