2205933216372 has 120 divisors (see below), whose sum is σ = 5955876326400. Its totient is φ = 711219942720.

The previous prime is 2205933216367. The next prime is 2205933216401. The reversal of 2205933216372 is 2736123395022.

2205933216372 is a `hidden beast` number, since 2 + 2 + 0 + 5 + 9 + 3 + 3 + 2 + 1 + 637 + 2 = 666.

It is a super-2 number, since 2×2205933216372² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19519413 + ... + 19632099.

It is an arithmetic number, because the mean of its divisors is an integer number (49632302720).

Almost surely, 2^{2205933216372} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2205933216372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2977938163200).

2205933216372 is an abundant number, since it is smaller than the sum of its proper divisors (3749943110028).

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

2205933216372 is a wasteful number, since it uses less digits than its factorization.

2205933216372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114683 (or 114672 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 2205933216372 in words is "two trillion, two hundred five billion, nine hundred thirty-three million, two hundred sixteen thousand, three hundred seventy-two".