2205627201764 has 72 divisors (see below), whose sum is σ = 4546444059360. Its totient is φ = 933403129344.

The previous prime is 2205627201749. The next prime is 2205627201823. The reversal of 2205627201764 is 4671027265022.

It is a super-2 number, since 2×2205627201764² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32778947 + ... + 32846165.

It is an arithmetic number, because the mean of its divisors is an integer number (63145056380).

Almost surely, 2^{2205627201764} 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 2205627201764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2273222029680).

2205627201764 is an abundant number, since it is smaller than the sum of its proper divisors (2340816857596).

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

2205627201764 is a wasteful number, since it uses less digits than its factorization.

2205627201764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69337 (or 69328 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 2205627201764 in words is "two trillion, two hundred five billion, six hundred twenty-seven million, two hundred one thousand, seven hundred sixty-four".