2722752400 has 45 divisors (see below), whose sum is σ = 6543920851. Its totient is φ = 1088683520.

The previous prime is 2722752371. The next prime is 2722752401. The reversal of 2722752400 is 42572272.

The square root of 2722752400 is 52180.

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

It can be written as a sum of positive squares in 4 ways, for example, as 70090384 + 2652662016 = 8372^2 + 51504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2722752401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1042296 + ... + 1044904.

Almost surely, 2^2722752400 is an apocalyptic number.

2722752400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2722752400 is the 52180-th square number.

It is an amenable number.

2722752400 is an abundant number, since it is smaller than the sum of its proper divisors (3821168451).

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

2722752400 is an frugal number, since it uses more digits than its factorization.

2722752400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5236 (or 2616 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 31.

The cubic root of 2722752400 is about 1396.3770953593.

The spelling of 2722752400 in words is "two billion, seven hundred twenty-two million, seven hundred fifty-two thousand, four hundred".