2225635363160 has 128 divisors (see below), whose sum is σ = 5723159016960. Its totient is φ = 771048960000.

The previous prime is 2225635363141. The next prime is 2225635363177. The reversal of 2225635363160 is 613635365222.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2102024 + ... + 2978216.

It is an arithmetic number, because the mean of its divisors is an integer number (44712179820).

Almost surely, 2^{2225635363160} is an apocalyptic number.

2225635363160 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 2225635363160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861579508480).

2225635363160 is an abundant number, since it is smaller than the sum of its proper divisors (3497523653800).

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

2225635363160 is a wasteful number, since it uses less digits than its factorization.

2225635363160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876489 (or 876485 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 44.

The spelling of 2225635363160 in words is "two trillion, two hundred twenty-five billion, six hundred thirty-five million, three hundred sixty-three thousand, one hundred sixty".