2813345480 has 128 divisors (see below), whose sum is σ = 7166361600. Its totient is φ = 984748800.

The previous prime is 2813345471. The next prime is 2813345537. The reversal of 2813345480 is 845433182.

It is a happy number.

2813345480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3259529 + ... + 3260391.

It is an arithmetic number, because the mean of its divisors is an integer number (55987200).

Almost surely, 2^2813345480 is an apocalyptic number.

2813345480 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 2813345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3583180800).

2813345480 is an abundant number, since it is smaller than the sum of its proper divisors (4353016120).

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

2813345480 is a wasteful number, since it uses less digits than its factorization.

2813345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1155 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 38.

The square root of 2813345480 is about 53040.9792518954. The cubic root of 2813345480 is about 1411.6954739756.

The spelling of 2813345480 in words is "two billion, eight hundred thirteen million, three hundred forty-five thousand, four hundred eighty".