2200761360 has 320 divisors, whose sum is σ = 8813721600. Its totient is φ = 494304768.

The previous prime is 2200761359. The next prime is 2200761391. The reversal of 2200761360 is 631670022.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890847 + ... + 893313.

It is an arithmetic number, because the mean of its divisors is an integer number (27542880).

Almost surely, 2^2200761360 is an apocalyptic number.

2200761360 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 2200761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406860800).

2200761360 is an abundant number, since it is smaller than the sum of its proper divisors (6612960240).

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

2200761360 is a wasteful number, since it uses less digits than its factorization.

2200761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 2200761360 is about 46912.2730210336. The cubic root of 2200761360 is about 1300.7414626236.

The spelling of 2200761360 in words is "two billion, two hundred million, seven hundred sixty-one thousand, three hundred sixty".