2971162560 has 112 divisors (see below), whose sum is σ = 9566525952. Its totient is φ = 781132800.

The previous prime is 2971162553. The next prime is 2971162589. The reversal of 2971162560 is 652611792.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46365 + ... + 89955.

Almost surely, 2^2971162560 is an apocalyptic number.

2971162560 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 2971162560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783262976).

2971162560 is an abundant number, since it is smaller than the sum of its proper divisors (6595363392).

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

2971162560 is a wasteful number, since it uses less digits than its factorization.

2971162560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43682 (or 43672 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 2971162560 is about 54508.3714671425. The cubic root of 2971162560 is about 1437.6134852812.

The spelling of 2971162560 in words is "two billion, nine hundred seventy-one million, one hundred sixty-two thousand, five hundred sixty".