2218625925120 has 1632 divisors, whose sum is σ = 9274793673600. Its totient is φ = 502813163520.

The previous prime is 2218625925119. The next prime is 2218625925179. The reversal of 2218625925120 is 215295268122.

2218625925120 is a `hidden beast` number, since 2 + 2 + 1 + 8 + 6 + 2 + 592 + 51 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1632).

It is a super-2 number, since 2×2218625925120² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14890106806 + ... + 14890106954.

Almost surely, 2^{2218625925120} is an apocalyptic number.

2218625925120 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 2218625925120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4637396836800).

2218625925120 is an abundant number, since it is smaller than the sum of its proper divisors (7056167748480).

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

2218625925120 is an equidigital number, since it uses as much as digits as its factorization.

2218625925120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 2218625925120 in words is "two trillion, two hundred eighteen billion, six hundred twenty-five million, nine hundred twenty-five thousand, one hundred twenty".