2996032032 has 288 divisors, whose sum is σ = 10142181504. Its totient is φ = 821145600.

The previous prime is 2996032027. The next prime is 2996032057. The reversal of 2996032032 is 2302306992.

2996032032 is a `hidden beast` number, since 29 + 9 + 603 + 20 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5537682 + ... + 5538222.

It is an arithmetic number, because the mean of its divisors is an integer number (35215908).

Almost surely, 2^2996032032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2996032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071090752).

2996032032 is an abundant number, since it is smaller than the sum of its proper divisors (7146149472).

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

2996032032 is a wasteful number, since it uses less digits than its factorization.

2996032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 2996032032 is about 54736.0213387857. The cubic root of 2996032032 is about 1441.6134230744.

The spelling of 2996032032 in words is "two billion, nine hundred ninety-six million, thirty-two thousand, thirty-two".