2959040160 has 336 divisors, whose sum is σ = 10946928384. Its totient is φ = 754085376.

The previous prime is 2959040159. The next prime is 2959040171. The reversal of 2959040160 is 610409592.

2959040160 is a `hidden beast` number, since 2 + 9 + 590 + 4 + 0 + 1 + 60 = 666.

2959040160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2682169 + ... + 2683271.

It is an arithmetic number, because the mean of its divisors is an integer number (32580144).

Almost surely, 2^2959040160 is an apocalyptic number.

2959040160 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 2959040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5473464192).

2959040160 is an abundant number, since it is smaller than the sum of its proper divisors (7987888224).

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

2959040160 is a wasteful number, since it uses less digits than its factorization.

2959040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2959040160 is about 54397.0602146844. The cubic root of 2959040160 is about 1435.6556567091.

The spelling of 2959040160 in words is "two billion, nine hundred fifty-nine million, forty thousand, one hundred sixty".