2722420800 has 672 divisors, whose sum is σ = 11497299840. Its totient is φ = 619315200.

The previous prime is 2722420781. The next prime is 2722420801. The reversal of 2722420800 is 80242272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2722420801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8078232 + ... + 8078568.

Almost surely, 2^2722420800 is an apocalyptic number.

2722420800 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 2722420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5748649920).

2722420800 is an abundant number, since it is smaller than the sum of its proper divisors (8774879040).

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

2722420800 is a wasteful number, since it uses less digits than its factorization.

2722420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2722420800 is about 52176.8224406201. The cubic root of 2722420800 is about 1396.3204054887.

The spelling of 2722420800 in words is "two billion, seven hundred twenty-two million, four hundred twenty thousand, eight hundred".