2200296960 has 360 divisors, whose sum is σ = 7973335656. Its totient is φ = 582266880.

The previous prime is 2200296929. The next prime is 2200297027. The reversal of 2200296960 is 696920022.

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 16796095 + ... + 16796225.

Almost surely, 2^2200296960 is an apocalyptic number.

2200296960 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 2200296960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986667828).

2200296960 is an abundant number, since it is smaller than the sum of its proper divisors (5773038696).

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

2200296960 is an frugal number, since it uses more digits than its factorization.

2200296960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 2200296960 is about 46907.3230956532. The cubic root of 2200296960 is about 1300.6499629513.

The spelling of 2200296960 in words is "two billion, two hundred million, two hundred ninety-six thousand, nine hundred sixty".