2801790480 has 80 divisors (see below), whose sum is σ = 8703192960. Its totient is φ = 745626624.

The previous prime is 2801790421. The next prime is 2801790491. The reversal of 2801790480 is 840971082.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109116 + ... + 132324.

It is an arithmetic number, because the mean of its divisors is an integer number (108789912).

Almost surely, 2^2801790480 is an apocalyptic number.

2801790480 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 2801790480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4351596480).

2801790480 is an abundant number, since it is smaller than the sum of its proper divisors (5901402480).

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

2801790480 is a wasteful number, since it uses less digits than its factorization.

2801790480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23728 (or 23722 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 2801790480 is about 52931.9419632418. The cubic root of 2801790480 is about 1409.7601120992.

The spelling of 2801790480 in words is "two billion, eight hundred one million, seven hundred ninety thousand, four hundred eighty".