2245756968 has 256 divisors, whose sum is σ = 7807833600. Its totient is φ = 582266880.

The previous prime is 2245756951. The next prime is 2245756993. The reversal of 2245756968 is 8696575422.

2245756968 is a `hidden beast` number, since 2 + 2 + 4 + 575 + 6 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1198080 + ... + 1199952.

It is an arithmetic number, because the mean of its divisors is an integer number (30499350).

Almost surely, 2^2245756968 is an apocalyptic number.

2245756968 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 2245756968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903916800).

2245756968 is an abundant number, since it is smaller than the sum of its proper divisors (5562076632).

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

2245756968 is a wasteful number, since it uses less digits than its factorization.

2245756968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1959 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The square root of 2245756968 is about 47389.4183125305. The cubic root of 2245756968 is about 1309.5464832626.

The spelling of 2245756968 in words is "two billion, two hundred forty-five million, seven hundred fifty-six thousand, nine hundred sixty-eight".