2930780160 has 864 divisors, whose sum is σ = 13108586400. Its totient is φ = 598671360.

The previous prime is 2930780117. The next prime is 2930780189. The reversal of 2930780160 is 610870392.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49674211 + ... + 49674269.

It is an arithmetic number, because the mean of its divisors is an integer number (15171975).

Almost surely, 2^2930780160 is an apocalyptic number.

2930780160 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 2930780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554293200).

2930780160 is an abundant number, since it is smaller than the sum of its proper divisors (10177806240).

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

2930780160 is a wasteful number, since it uses less digits than its factorization.

2930780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2930780160 is about 54136.6803562982. The cubic root of 2930780160 is about 1431.0706702848.

The spelling of 2930780160 in words is "two billion, nine hundred thirty million, seven hundred eighty thousand, one hundred sixty".