2996532264960 has 1440 divisors, whose sum is σ = 12054974057280. Its totient is φ = 701956620288.

The previous prime is 2996532264953. The next prime is 2996532265007. The reversal of 2996532264960 is 694622356992.

2996532264960 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 532 + 2 + 6 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×2996532264960² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15210823582 + ... + 15210823778.

It is an arithmetic number, because the mean of its divisors is an integer number (8371509762).

Almost surely, 2^{2996532264960} is an apocalyptic number.

2996532264960 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 2996532264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6027487028640).

2996532264960 is an abundant number, since it is smaller than the sum of its proper divisors (9058441792320).

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

2996532264960 is a wasteful number, since it uses less digits than its factorization.

2996532264960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 63.

The spelling of 2996532264960 in words is "two trillion, nine hundred ninety-six billion, five hundred thirty-two million, two hundred sixty-four thousand, nine hundred sixty".