2997153566352 has 960 divisors, whose sum is σ = 10035951943680. Its totient is φ = 825869721600.

The previous prime is 2997153566339. The next prime is 2997153566401. The reversal of 2997153566352 is 2536653517992.

2997153566352 is a `hidden beast` number, since 2 + 9 + 9 + 7 + 1 + 535 + 66 + 35 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2997153566352.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10820048838 + ... + 10820049114.

It is an arithmetic number, because the mean of its divisors is an integer number (10454116608).

Almost surely, 2^{2997153566352} is an apocalyptic number.

2997153566352 is a gapful number since it is divisible by the number (22) 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 2997153566352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5017975971840).

2997153566352 is an abundant number, since it is smaller than the sum of its proper divisors (7038798377328).

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

2997153566352 is a wasteful number, since it uses less digits than its factorization.

2997153566352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 523 counting only the distinct ones).

The product of its digits is 91854000, while the sum is 63.

The spelling of 2997153566352 in words is "two trillion, nine hundred ninety-seven billion, one hundred fifty-three million, five hundred sixty-six thousand, three hundred fifty-two".