2980756800 has 336 divisors, whose sum is σ = 12419502720. Its totient is φ = 681246720.

The previous prime is 2980756789. The next prime is 2980756811. The reversal of 2980756800 is 86570892.

2980756800 is a `hidden beast` number, since 2 + 9 + 80 + 7 + 568 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2980756789) and next prime (2980756811).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×2980756800² = 17769822201492480000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 297472 + ... + 307328.

Almost surely, 2^2980756800 is an apocalyptic number.

2980756800 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 2980756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6209751360).

2980756800 is an abundant number, since it is smaller than the sum of its proper divisors (9438745920).

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

2980756800 is a wasteful number, since it uses less digits than its factorization.

2980756800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9895 (or 9874 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 2980756800 is about 54596.3075674537. The cubic root of 2980756800 is about 1439.1592314207.

The spelling of 2980756800 in words is "two billion, nine hundred eighty million, seven hundred fifty-six thousand, eight hundred".