2900782080 has 792 divisors, whose sum is σ = 12714522912. Its totient is φ = 596901888.

The previous prime is 2900782069. The next prime is 2900782081. The reversal of 2900782080 is 802870092.

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

It is not an unprimeable number, because it can be changed into a prime (2900782081) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 126120949 + ... + 126120971.

Almost surely, 2^2900782080 is an apocalyptic number.

2900782080 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 2900782080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6357261456).

2900782080 is an abundant number, since it is smaller than the sum of its proper divisors (9813740832).

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

2900782080 is a wasteful number, since it uses less digits than its factorization.

2900782080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2900782080 is about 53858.9090123445. The cubic root of 2900782080 is about 1426.1713287036.

The spelling of 2900782080 in words is "two billion, nine hundred million, seven hundred eighty-two thousand, eighty".