2961596160 has 216 divisors, whose sum is σ = 10578632064. Its totient is φ = 764190720.

The previous prime is 2961596159. The next prime is 2961596171. The reversal of 2961596160 is 616951692.

It is a happy number.

2961596160 is a `hidden beast` number, since 29 + 6 + 1 + 5 + 9 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352974 + ... + 361266.

Almost surely, 2^2961596160 is an apocalyptic number.

2961596160 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 2961596160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289316032).

2961596160 is an abundant number, since it is smaller than the sum of its proper divisors (7617035904).

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

2961596160 is a wasteful number, since it uses less digits than its factorization.

2961596160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8351 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 2961596160 is about 54420.5490600747. The cubic root of 2961596160 is about 1436.0689078077.

The spelling of 2961596160 in words is "two billion, nine hundred sixty-one million, five hundred ninety-six thousand, one hundred sixty".