2225159314560 has 768 divisors, whose sum is σ = 9476176469760. Its totient is φ = 468528758784.

The previous prime is 2225159314549. The next prime is 2225159314577. The reversal of 2225159314560 is 654139515222.

2225159314560 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 1 + 59 + 31 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274131622 + ... + 274139738.

It is an arithmetic number, because the mean of its divisors is an integer number (12338771445).

Almost surely, 2^{2225159314560} is an apocalyptic number.

2225159314560 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 2225159314560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4738088234880).

2225159314560 is an abundant number, since it is smaller than the sum of its proper divisors (7251017155200).

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

2225159314560 is a wasteful number, since it uses less digits than its factorization.

2225159314560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8685 (or 8670 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2225159314560 in words is "two trillion, two hundred twenty-five billion, one hundred fifty-nine million, three hundred fourteen thousand, five hundred sixty".