2820590800 has 60 divisors (see below), whose sum is σ = 6995095936. Its totient is φ = 1091836800.

The previous prime is 2820590761. The next prime is 2820590807. The reversal of 2820590800 is 80950282.

It is a super-2 number, since 2×2820590800² = 15911464922089280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820590807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101334 + ... + 126133.

Almost surely, 2^2820590800 is an apocalyptic number.

2820590800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820590800 is an abundant number, since it is smaller than the sum of its proper divisors (4174505136).

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

2820590800 is a wasteful number, since it uses less digits than its factorization.

2820590800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227516 (or 227505 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 2820590800 is about 53109.2346019033. The cubic root of 2820590800 is about 1412.9063002220.

The spelling of 2820590800 in words is "two billion, eight hundred twenty million, five hundred ninety thousand, eight hundred".