2205728423100 has 216 divisors, whose sum is σ = 7201400414208. Its totient is φ = 585601617600.

The previous prime is 2205728423089. The next prime is 2205728423137. The reversal of 2205728423100 is 13248275022.

2205728423100 is a `hidden beast` number, since 2 + 2 + 0 + 572 + 84 + 2 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×2205728423100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5316165 + ... + 5716035.

Almost surely, 2^{2205728423100} is an apocalyptic number.

2205728423100 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 2205728423100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600700207104).

2205728423100 is an abundant number, since it is smaller than the sum of its proper divisors (4995671991108).

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

2205728423100 is a wasteful number, since it uses less digits than its factorization.

2205728423100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400127 (or 400108 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 2205728423100 in words is "two trillion, two hundred five billion, seven hundred twenty-eight million, four hundred twenty-three thousand, one hundred".