2961607222288 has 160 divisors (see below), whose sum is σ = 6963754291200. Its totient is φ = 1201681267200.

The previous prime is 2961607222271. The next prime is 2961607222291. The reversal of 2961607222288 is 8822227061692.

It is a super-2 number, since 2×2961607222288² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103469643 + ... + 103498261.

It is an arithmetic number, because the mean of its divisors is an integer number (43523464320).

Almost surely, 2^{2961607222288} 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 2961607222288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3481877145600).

2961607222288 is an abundant number, since it is smaller than the sum of its proper divisors (4002147068912).

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

2961607222288 is a wasteful number, since it uses less digits than its factorization.

2961607222288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30141 (or 30135 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 2961607222288 in words is "two trillion, nine hundred sixty-one billion, six hundred seven million, two hundred twenty-two thousand, two hundred eighty-eight".