2961888160 has 192 divisors, whose sum is σ = 8928589824. Its totient is φ = 901555200.

The previous prime is 2961888151. The next prime is 2961888197. The reversal of 2961888160 is 618881692.

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 31 ways as a sum of consecutive naturals, for example, 526965 + ... + 532555.

It is an arithmetic number, because the mean of its divisors is an integer number (46503072).

Almost surely, 2^2961888160 is an apocalyptic number.

2961888160 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 2961888160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4464294912).

2961888160 is an abundant number, since it is smaller than the sum of its proper divisors (5966701664).

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

2961888160 is a wasteful number, since it uses less digits than its factorization.

2961888160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667 (or 5659 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 49.

The square root of 2961888160 is about 54423.2318040743. The cubic root of 2961888160 is about 1436.1161028919.

The spelling of 2961888160 in words is "two billion, nine hundred sixty-one million, eight hundred eighty-eight thousand, one hundred sixty".