2992584000 has 448 divisors, whose sum is σ = 11563868160. Its totient is φ = 667699200.

The previous prime is 2992583983. The next prime is 2992584029. The reversal of 2992584000 is 4852992.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2992584000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7895811 + ... + 7896189.

Almost surely, 2^2992584000 is an apocalyptic number.

2992584000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2992584000 is the 31584-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2992584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5781934080).

2992584000 is an abundant number, since it is smaller than the sum of its proper divisors (8571284160).

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

2992584000 is a wasteful number, since it uses less digits than its factorization.

2992584000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 2992584000 is about 54704.5153529396. The cubic root of 2992584000 is about 1441.0601760616.

The spelling of 2992584000 in words is "two billion, nine hundred ninety-two million, five hundred eighty-four thousand".