2961089376 has 288 divisors, whose sum is σ = 9605514240. Its totient is φ = 782106624.

The previous prime is 2961089357. The next prime is 2961089377. The reversal of 2961089376 is 6739801692.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961089377) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15342336 + ... + 15342528.

It is an arithmetic number, because the mean of its divisors is an integer number (33352480).

Almost surely, 2^2961089376 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 2961089376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802757120).

2961089376 is an abundant number, since it is smaller than the sum of its proper divisors (6644424864).

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

2961089376 is a wasteful number, since it uses less digits than its factorization.

2961089376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 2961089376 is about 54415.8926785181. The cubic root of 2961089376 is about 1435.9869904652.

The spelling of 2961089376 in words is "two billion, nine hundred sixty-one million, eighty-nine thousand, three hundred seventy-six".