2205242379900 has 576 divisors, whose sum is σ = 8222817039360. Its totient is φ = 496587801600.

The previous prime is 2205242379877. The next prime is 2205242379937. The reversal of 2205242379900 is 99732425022.

2205242379900 is a `hidden beast` number, since 2 + 2 + 0 + 524 + 2 + 37 + 9 + 90 + 0 = 666.

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 191 ways as a sum of consecutive naturals, for example, 622772130 + ... + 622775670.

Almost surely, 2^{2205242379900} is an apocalyptic number.

2205242379900 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 2205242379900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111408519680).

2205242379900 is an abundant number, since it is smaller than the sum of its proper divisors (6017574659460).

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

2205242379900 is a wasteful number, since it uses less digits than its factorization.

2205242379900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4051 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 2205242379900 in words is "two trillion, two hundred five billion, two hundred forty-two million, three hundred seventy-nine thousand, nine hundred".