2722224960 has 1008 divisors, whose sum is σ = 12530059776. Its totient is φ = 529072128.

The previous prime is 2722224959. The next prime is 2722225073. The reversal of 2722224960 is 694222272.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 57919657 + ... + 57919703.

Almost surely, 2^2722224960 is an apocalyptic number.

2722224960 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 2722224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265029888).

2722224960 is an abundant number, since it is smaller than the sum of its proper divisors (9807834816).

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

2722224960 is a wasteful number, since it uses less digits than its factorization.

2722224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2722224960 is about 52174.9457115194. The cubic root of 2722224960 is about 1396.2869227949.

The spelling of 2722224960 in words is "two billion, seven hundred twenty-two million, two hundred twenty-four thousand, nine hundred sixty".