2722400 has 72 divisors (see below), whose sum is σ = 6890184. Its totient is φ = 1049600.

The previous prime is 2722399. The next prime is 2722417. The reversal of 2722400 is 42272.

It is a super-2 number, since 2×2722400² = 14822923520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32759 + ... + 32841.

It is an arithmetic number, because the mean of its divisors is an integer number (95697).

2^2722400 is an apocalyptic number.

2722400 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 2722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445092).

2722400 is an abundant number, since it is smaller than the sum of its proper divisors (4167784).

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

2722400 is a wasteful number, since it uses less digits than its factorization.

2722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2722400 is about 1649.9696966914. The cubic root of 2722400 is about 139.6316849396.

Adding to 2722400 its reverse (42272), we get a palindrome (2764672).

The spelling of 2722400 in words is "two million, seven hundred twenty-two thousand, four hundred".