2965832320 has 256 divisors, whose sum is σ = 8151840000. Its totient is φ = 1021870080.

The previous prime is 2965832281. The next prime is 2965832321. The reversal of 2965832320 is 232385692.

It is a happy number.

It is a super-2 number, since 2×2965832320² = 17592322700713164800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2965832321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14903581 + ... + 14903779.

It is an arithmetic number, because the mean of its divisors is an integer number (31843125).

Almost surely, 2^2965832320 is an apocalyptic number.

2965832320 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 2965832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075920000).

2965832320 is an abundant number, since it is smaller than the sum of its proper divisors (5186007680).

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

2965832320 is a wasteful number, since it uses less digits than its factorization.

2965832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The square root of 2965832320 is about 54459.4557446179. The cubic root of 2965832320 is about 1436.7532819468.

The spelling of 2965832320 in words is "two billion, nine hundred sixty-five million, eight hundred thirty-two thousand, three hundred twenty".