2721318400 has 120 divisors (see below), whose sum is σ = 6771613464. Its totient is φ = 1083801600.

The previous prime is 2721318389. The next prime is 2721318437. The reversal of 2721318400 is 48131272.

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, 5542155 + ... + 5542645.

Almost surely, 2^2721318400 is an apocalyptic number.

2721318400 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 2721318400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3385806732).

2721318400 is an abundant number, since it is smaller than the sum of its proper divisors (4050295064).

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

2721318400 is an equidigital number, since it uses as much as digits as its factorization.

2721318400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 2721318400 is about 52166.2572933884. The cubic root of 2721318400 is about 1396.1319076349.

Adding to 2721318400 its reverse (48131272), we get a palindrome (2769449672).

The spelling of 2721318400 in words is "two billion, seven hundred twenty-one million, three hundred eighteen thousand, four hundred".