2992560048000 has 768 divisors, whose sum is σ = 11463554082240. Its totient is φ = 745508044800.

The previous prime is 2992560047993. The next prime is 2992560048019. The reversal of 2992560048000 is 8400652992.

2992560048000 is a `hidden beast` number, since 2 + 9 + 9 + 2 + 560 + 0 + 4 + 80 + 0 + 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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 335371539 + ... + 335380461.

Almost surely, 2^{2992560048000} is an apocalyptic number.

2992560048000 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 2992560048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731777041120).

2992560048000 is an abundant number, since it is smaller than the sum of its proper divisors (8470994034240).

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

2992560048000 is a wasteful number, since it uses less digits than its factorization.

2992560048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9087 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 2992560048000 in words is "two trillion, nine hundred ninety-two billion, five hundred sixty million, forty-eight thousand".