2980242720 has 1080 divisors, whose sum is σ = 13906090044. Its totient is φ = 595703808.

The previous prime is 2980242631. The next prime is 2980242743. The reversal of 2980242720 is 272420892.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2773918224 + 206324496 = 52668^2 + 14364^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×2980242720² = 17763693340225996800, which contains 22 as substring.

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

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 179 ways as a sum of consecutive naturals, for example, 156854871 + ... + 156854889.

Almost surely, 2^2980242720 is an apocalyptic number.

2980242720 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 2980242720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953045022).

2980242720 is an abundant number, since it is smaller than the sum of its proper divisors (10925847324).

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

2980242720 is a wasteful number, since it uses less digits than its factorization.

2980242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2980242720 is about 54591.5993537467. The cubic root of 2980242720 is about 1439.0764911901.

The spelling of 2980242720 in words is "two billion, nine hundred eighty million, two hundred forty-two thousand, seven hundred twenty".