2996573613264 has 1080 divisors, whose sum is σ = 11330523300096. Its totient is φ = 735427123200.

The previous prime is 2996573613247. The next prime is 2996573613323. The reversal of 2996573613264 is 4623163756992.

2996573613264 is a `hidden beast` number, since 2 + 9 + 9 + 6 + 5 + 7 + 3 + 613 + 2 + 6 + 4 = 666.

2996573613264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1138082092 + ... + 1138084724.

Almost surely, 2^{2996573613264} is an apocalyptic number.

2996573613264 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 2996573613264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665261650048).

2996573613264 is an abundant number, since it is smaller than the sum of its proper divisors (8333949686832).

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

2996573613264 is a wasteful number, since it uses less digits than its factorization.

2996573613264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2730 counting only the distinct ones).

The product of its digits is 88179840, while the sum is 63.

The spelling of 2996573613264 in words is "two trillion, nine hundred ninety-six billion, five hundred seventy-three million, six hundred thirteen thousand, two hundred sixty-four".