2225885914560 has 1008 divisors, whose sum is σ = 9370869516288. Its totient is φ = 438120714240.

The previous prime is 2225885914531. The next prime is 2225885914591. The reversal of 2225885914560 is 654195885222.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 2225885914560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 293532529 + ... + 293540111.

It is an arithmetic number, because the mean of its divisors is an integer number (9296497536).

Almost surely, 2^{2225885914560} is an apocalyptic number.

2225885914560 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 2225885914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685434758144).

2225885914560 is an abundant number, since it is smaller than the sum of its proper divisors (7144983601728).

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

2225885914560 is a wasteful number, since it uses less digits than its factorization.

2225885914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7670 (or 7630 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 57.

The spelling of 2225885914560 in words is "two trillion, two hundred twenty-five billion, eight hundred eighty-five million, nine hundred fourteen thousand, five hundred sixty".