2820938400 has 504 divisors, whose sum is σ = 11817306144. Its totient is φ = 643852800.

The previous prime is 2820938389. The next prime is 2820938413. The reversal of 2820938400 is 48390282.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 4082055 + ... + 4082745.

It is an arithmetic number, because the mean of its divisors is an integer number (23447036).

Almost surely, 2^2820938400 is an apocalyptic number.

2820938400 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 2820938400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5908653072).

2820938400 is an abundant number, since it is smaller than the sum of its proper divisors (8996367744).

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

2820938400 is an equidigital number, since it uses as much as digits as its factorization.

2820938400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2820938400 is about 53112.5070016470. The cubic root of 2820938400 is about 1412.9643384241.

The spelling of 2820938400 in words is "two billion, eight hundred twenty million, nine hundred thirty-eight thousand, four hundred".