2961264070656 has 312 divisors, whose sum is σ = 8631034936160. Its totient is φ = 978208358400.

The previous prime is 2961264070619. The next prime is 2961264070657. The reversal of 2961264070656 is 6560704621692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961264070657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2528832951 + ... + 2528834121.

Almost surely, 2^{2961264070656} 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 2961264070656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4315517468080).

2961264070656 is an abundant number, since it is smaller than the sum of its proper divisors (5669770865504).

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

2961264070656 is a wasteful number, since it uses less digits than its factorization.

2961264070656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2961264070656 in words is "two trillion, nine hundred sixty-one billion, two hundred sixty-four million, seventy thousand, six hundred fifty-six".