2192807990880 has 288 divisors, whose sum is σ = 8108019724896. Its totient is φ = 536455913472.

The previous prime is 2192807990839. The next prime is 2192807990887. The reversal of 2192807990880 is 880997082912.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2192807990887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2692044 + ... + 3410676.

It is an arithmetic number, because the mean of its divisors is an integer number (28152846267).

Almost surely, 2^{2192807990880} is an apocalyptic number.

2192807990880 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 2192807990880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054009862448).

2192807990880 is an abundant number, since it is smaller than the sum of its proper divisors (5915211734016).

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

2192807990880 is a wasteful number, since it uses less digits than its factorization.

2192807990880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718830 (or 718819 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 2192807990880 in words is "two trillion, one hundred ninety-two billion, eight hundred seven million, nine hundred ninety thousand, eight hundred eighty".