2820314560 has 252 divisors, whose sum is σ = 8082372456. Its totient is φ = 934563840.

The previous prime is 2820314543. The next prime is 2820314561. The reversal of 2820314560 is 654130282.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820314561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26358027 + ... + 26358133.

Almost surely, 2^2820314560 is an apocalyptic number.

2820314560 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 2820314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041186228).

2820314560 is an abundant number, since it is smaller than the sum of its proper divisors (5262057896).

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

2820314560 is a wasteful number, since it uses less digits than its factorization.

2820314560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 2820314560 is about 53106.6338605640. The cubic root of 2820314560 is about 1412.8601734816.

The spelling of 2820314560 in words is "two billion, eight hundred twenty million, three hundred fourteen thousand, five hundred sixty".