2965660632 has 288 divisors, whose sum is σ = 9295104000. Its totient is φ = 852508800.

The previous prime is 2965660609. The next prime is 2965660639. The reversal of 2965660632 is 2360665692.

2965660632 is a `hidden beast` number, since 2 + 9 + 6 + 5 + 6 + 6 + 0 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2965660639) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21335619 + ... + 21335757.

Almost surely, 2^2965660632 is an apocalyptic number.

2965660632 is a gapful number since it is divisible by the number (22) 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 2965660632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647552000).

2965660632 is an abundant number, since it is smaller than the sum of its proper divisors (6329443368).

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

2965660632 is a wasteful number, since it uses less digits than its factorization.

2965660632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 2965660632 is about 54457.8794298860. The cubic root of 2965660632 is about 1436.7255575139.

The spelling of 2965660632 in words is "two billion, nine hundred sixty-five million, six hundred sixty thousand, six hundred thirty-two".