2980930680 has 512 divisors, whose sum is σ = 12499200000. Its totient is φ = 627927552.

The previous prime is 2980930661. The next prime is 2980930703. The reversal of 2980930680 is 860390892.

2980930680 is digitally balanced in base 2, because in such base 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4815411 + ... + 4816029.

It is an arithmetic number, because the mean of its divisors is an integer number (24412500).

Almost surely, 2^2980930680 is an apocalyptic number.

2980930680 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 2980930680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6249600000).

2980930680 is an abundant number, since it is smaller than the sum of its proper divisors (9518269320).

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

2980930680 is a wasteful number, since it uses less digits than its factorization.

2980930680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2980930680 is about 54597.8999596138. The cubic root of 2980930680 is about 1439.1872149338.

The spelling of 2980930680 in words is "two billion, nine hundred eighty million, nine hundred thirty thousand, six hundred eighty".