2980811520 has 216 divisors, whose sum is σ = 10566515232. Its totient is φ = 775372800.

The previous prime is 2980811503. The next prime is 2980811551. The reversal of 2980811520 is 251180892.

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 23 ways as a sum of consecutive naturals, for example, 469165 + ... + 475475.

It is an arithmetic number, because the mean of its divisors is an integer number (48919052).

Almost surely, 2^2980811520 is an apocalyptic number.

2980811520 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 2980811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283257616).

2980811520 is an abundant number, since it is smaller than the sum of its proper divisors (7585703712).

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

2980811520 is a wasteful number, since it uses less digits than its factorization.

2980811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 2980811520 is about 54596.8086979450. The cubic root of 2980811520 is about 1439.1680379438.

It can be divided in two parts, 29808 and 11520, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 2980811520 in words is "two billion, nine hundred eighty million, eight hundred eleven thousand, five hundred twenty".