2820640800 has 72 divisors (see below), whose sum is σ = 9181193616. Its totient is φ = 752170240.

The previous prime is 2820640769. The next prime is 2820640807. The reversal of 2820640800 is 80460282.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2820640807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 585234 + ... + 590033.

It is an arithmetic number, because the mean of its divisors is an integer number (127516578).

Almost surely, 2^2820640800 is an apocalyptic number.

2820640800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2820640800 is an abundant number, since it is smaller than the sum of its proper divisors (6360552816).

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

2820640800 is a wasteful number, since it uses less digits than its factorization.

2820640800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175290 (or 1175277 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2820640800 is about 53109.7053277459. The cubic root of 2820640800 is about 1412.9146489336.

It can be divided in two parts, 28206 and 40800, that added together give a triangular number (69006 = T₃₇₁).

The spelling of 2820640800 in words is "two billion, eight hundred twenty million, six hundred forty thousand, eight hundred".