2452226560 has 240 divisors, whose sum is σ = 6939941976. Its totient is φ = 828506112.

The previous prime is 2452226549. The next prime is 2452226563. The reversal of 2452226560 is 656222542.

It can be written as a sum of positive squares in 4 ways, for example, as 1782866176 + 669360384 = 42224^2 + 25872^2 .

It is not an unprimeable number, because it can be changed into a prime (2452226563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14174634 + ... + 14174806.

Almost surely, 2^2452226560 is an apocalyptic number.

2452226560 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 2452226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469970988).

2452226560 is an abundant number, since it is smaller than the sum of its proper divisors (4487715416).

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

2452226560 is a wasteful number, since it uses less digits than its factorization.

2452226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The square root of 2452226560 is about 49519.9612277716. The cubic root of 2452226560 is about 1348.5080105880.

The spelling of 2452226560 in words is "two billion, four hundred fifty-two million, two hundred twenty-six thousand, five hundred sixty".