2983200080 has 80 divisors (see below), whose sum is σ = 8008654080. Its totient is φ = 1012248576.

The previous prime is 2983200061. The next prime is 2983200131. The reversal of 2983200080 is 800023892.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26861 + ... + 81779.

It is an arithmetic number, because the mean of its divisors is an integer number (100108176).

Almost surely, 2^2983200080 is an apocalyptic number.

2983200080 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 2983200080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004327040).

2983200080 is an abundant number, since it is smaller than the sum of its proper divisors (5025454000).

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

2983200080 is a wasteful number, since it uses less digits than its factorization.

2983200080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55036 (or 55030 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 2983200080 is about 54618.6788562301. The cubic root of 2983200080 is about 1439.5523428458.

The spelling of 2983200080 in words is "two billion, nine hundred eighty-three million, two hundred thousand, eighty".