2200095648 has 96 divisors (see below), whose sum is σ = 6498374400. Its totient is φ = 724059648.

The previous prime is 2200095617. The next prime is 2200095661. The reversal of 2200095648 is 8465900022.

It is a happy number.

2200095648 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 0 + 9 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52140 + ... + 84372.

It is an arithmetic number, because the mean of its divisors is an integer number (67691400).

Almost surely, 2^2200095648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2200095648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249187200).

2200095648 is an abundant number, since it is smaller than the sum of its proper divisors (4298278752).

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

2200095648 is a wasteful number, since it uses less digits than its factorization.

2200095648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32331 (or 32317 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2200095648 is about 46905.1771982582. The cubic root of 2200095648 is about 1300.6102949071.

The spelling of 2200095648 in words is "two billion, two hundred million, ninety-five thousand, six hundred forty-eight".