2960535312 has 480 divisors, whose sum is σ = 11043043200. Its totient is φ = 752467968.

The previous prime is 2960535307. The next prime is 2960535313. The reversal of 2960535312 is 2135350692.

2960535312 is a `hidden beast` number, since 2 + 9 + 605 + 35 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2960535313) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6837048 + ... + 6837480.

It is an arithmetic number, because the mean of its divisors is an integer number (23006340).

Almost surely, 2^2960535312 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 2960535312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5521521600).

2960535312 is an abundant number, since it is smaller than the sum of its proper divisors (8082507888).

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

2960535312 is a wasteful number, since it uses less digits than its factorization.

2960535312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2960535312 is about 54410.8014276577. The cubic root of 2960535312 is about 1435.8974200150.

The spelling of 2960535312 in words is "two billion, nine hundred sixty million, five hundred thirty-five thousand, three hundred twelve".