2969857962960 has 480 divisors, whose sum is σ = 11120270042880. Its totient is φ = 642196021248.

The previous prime is 2969857962931. The next prime is 2969857962971. The reversal of 2969857962960 is 692697589692.

2969857962960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 490639294 + ... + 490645346.

It is an arithmetic number, because the mean of its divisors is an integer number (23167229256).

Almost surely, 2^{2969857962960} is an apocalyptic number.

2969857962960 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 2969857962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560135021440).

2969857962960 is an abundant number, since it is smaller than the sum of its proper divisors (8150412079920).

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

2969857962960 is a wasteful number, since it uses less digits than its factorization.

2969857962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6923 (or 6898 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 78.

The spelling of 2969857962960 in words is "two trillion, nine hundred sixty-nine billion, eight hundred fifty-seven million, nine hundred sixty-two thousand, nine hundred sixty".