2225109715920 has 1200 divisors, whose sum is σ = 10067830439040. Its totient is φ = 444735442944.

The previous prime is 2225109715903. The next prime is 2225109715951. The reversal of 2225109715920 is 295179015222.

2225109715920 is a `hidden beast` number, since 2 + 2 + 2 + 51 + 0 + 9 + 7 + 1 + 592 + 0 = 666.

It is a super-2 number, since 2×2225109715920² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 145643322 + ... + 145658598.

Almost surely, 2^{2225109715920} is an apocalyptic number.

2225109715920 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 2225109715920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5033915219520).

2225109715920 is an abundant number, since it is smaller than the sum of its proper divisors (7842720723120).

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

2225109715920 is a wasteful number, since it uses less digits than its factorization.

2225109715920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15354 (or 15326 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 2225109715920 in words is "two trillion, two hundred twenty-five billion, one hundred nine million, seven hundred fifteen thousand, nine hundred twenty".