2722406400 has 504 divisors, whose sum is σ = 11197583904. Its totient is φ = 619315200.

The previous prime is 2722406363. The next prime is 2722406471. The reversal of 2722406400 is 46042272.

It is a happy number.

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

It is a super-2 number, since 2×2722406400² = 14822993213521920000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12902295 + ... + 12902505.

Almost surely, 2^2722406400 is an apocalyptic number.

2722406400 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 2722406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598791952).

2722406400 is an abundant number, since it is smaller than the sum of its proper divisors (8475177504).

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

2722406400 is a wasteful number, since it uses less digits than its factorization.

2722406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2722406400 is about 52176.6844481326. The cubic root of 2722406400 is about 1396.3179435806.

Adding to 2722406400 its reverse (46042272), we get a palindrome (2768448672).

The spelling of 2722406400 in words is "two billion, seven hundred twenty-two million, four hundred six thousand, four hundred".