2225760768 has 800 divisors, whose sum is σ = 8983675008. Its totient is φ = 530841600.

The previous prime is 2225760763. The next prime is 2225760787. The reversal of 2225760768 is 8670675222.

2225760768 is a `hidden beast` number, since 2 + 2 + 2 + 576 + 0 + 76 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2225760763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 54286828 + ... + 54286868.

Almost surely, 2^2225760768 is an apocalyptic number.

2225760768 is a gapful number since it is divisible by the number (28) 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 2225760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4491837504).

2225760768 is an abundant number, since it is smaller than the sum of its proper divisors (6757914240).

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

2225760768 is a wasteful number, since it uses less digits than its factorization.

2225760768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 2225760768 is about 47177.9690957549. The cubic root of 2225760768 is about 1305.6481599882.

The spelling of 2225760768 in words is "two billion, two hundred twenty-five million, seven hundred sixty thousand, seven hundred sixty-eight".