2806880400 has 135 divisors (see below), whose sum is σ = 9751698489. Its totient is φ = 747653760.

The previous prime is 2806880369. The next prime is 2806880407. The reversal of 2806880400 is 40886082.

The square root of 2806880400 is 52980.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1010476944 + 1796403456 = 31788^2 + 42384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (2806880407) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3178359 + ... + 3179241.

Almost surely, 2^2806880400 is an apocalyptic number.

2806880400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2806880400 is the 52980-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2806880400

2806880400 is an abundant number, since it is smaller than the sum of its proper divisors (6944818089).

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

2806880400 is an equidigital number, since it uses as much as digits as its factorization.

2806880400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The cubic root of 2806880400 is about 1410.6132838379.

Multiplying 2806880400 by its sum of digits (36), we get a square (101047694400 = 317880²).

2806880400 divided by its sum of digits (36) gives a square (77968900 = 8830²).

The spelling of 2806880400 in words is "two billion, eight hundred six million, eight hundred eighty thousand, four hundred".