2225635322544 has 320 divisors, whose sum is σ = 6642241536000. Its totient is φ = 712765267200.

The previous prime is 2225635322543. The next prime is 2225635322563. The reversal of 2225635322544 is 4452235365222.

2225635322544 is a `hidden beast` number, since 2 + 2 + 2 + 5 + 63 + 532 + 2 + 54 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2225635322544.

It is not an unprimeable number, because it can be changed into a prime (2225635322543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1590875157 + ... + 1590876555.

It is an arithmetic number, because the mean of its divisors is an integer number (20757004800).

Almost surely, 2^{2225635322544} is an apocalyptic number.

2225635322544 is a gapful number since it is divisible by the number (24) 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 2225635322544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321120768000).

2225635322544 is an abundant number, since it is smaller than the sum of its proper divisors (4416606213456).

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

2225635322544 is a wasteful number, since it uses less digits than its factorization.

2225635322544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221 (or 2209 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 45.

The spelling of 2225635322544 in words is "two trillion, two hundred twenty-five billion, six hundred thirty-five million, three hundred twenty-two thousand, five hundred forty-four".