2249261568 has 240 divisors, whose sum is σ = 7085216160. Its totient is φ = 704397312.

The previous prime is 2249261557. The next prime is 2249261569. The reversal of 2249261568 is 8651629422.

2249261568 is a `hidden beast` number, since 2 + 2 + 492 + 6 + 156 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2249261569) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3994855 + ... + 3995417.

It is an arithmetic number, because the mean of its divisors is an integer number (29521734).

Almost surely, 2^2249261568 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 2249261568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3542608080).

2249261568 is an abundant number, since it is smaller than the sum of its proper divisors (4835954592).

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

2249261568 is an equidigital number, since it uses as much as digits as its factorization.

2249261568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 585 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 2249261568 is about 47426.3805070554. The cubic root of 2249261568 is about 1310.2273303594.

The spelling of 2249261568 in words is "two billion, two hundred forty-nine million, two hundred sixty-one thousand, five hundred sixty-eight".