2965580368 has 80 divisors (see below), whose sum is σ = 6374592000. Its totient is φ = 1330108416.

The previous prime is 2965580357. The next prime is 2965580399. The reversal of 2965580368 is 8630855692.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620773 + ... + 625531.

It is an arithmetic number, because the mean of its divisors is an integer number (79682400).

Almost surely, 2^2965580368 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 2965580368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3187296000).

2965580368 is an abundant number, since it is smaller than the sum of its proper divisors (3409011632).

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

2965580368 is a wasteful number, since it uses less digits than its factorization.

2965580368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4892 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 52.

The square root of 2965580368 is about 54457.1424883826. The cubic root of 2965580368 is about 1436.7125959971.

The spelling of 2965580368 in words is "two billion, nine hundred sixty-five million, five hundred eighty thousand, three hundred sixty-eight".