2201992172820 has 576 divisors, whose sum is σ = 7896905856000. Its totient is φ = 508316497920.

The previous prime is 2201992172773. The next prime is 2201992172839. The reversal of 2201992172820 is 282712991022.

2201992172820 is a `hidden beast` number, since 220 + 199 + 217 + 2 + 8 + 20 = 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, 138316821 + ... + 138332739.

It is an arithmetic number, because the mean of its divisors is an integer number (13709906000).

Almost surely, 2^{2201992172820} is an apocalyptic number.

2201992172820 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 2201992172820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948452928000).

2201992172820 is an abundant number, since it is smaller than the sum of its proper divisors (5694913683180).

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

2201992172820 is a wasteful number, since it uses less digits than its factorization.

2201992172820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16061 (or 16042 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2201992172820 in words is "two trillion, two hundred one billion, nine hundred ninety-two million, one hundred seventy-two thousand, eight hundred twenty".