2190440880000 has 1680 divisors, whose sum is σ = 8667004139640. Its totient is φ = 550851840000.

The previous prime is 2190440879999. The next prime is 2190440880007. The reversal of 2190440880000 is 880440912.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2190440880007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 30851279965 + ... + 30851280035.

Almost surely, 2^{2190440880000} is an apocalyptic number.

2190440880000 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 2190440880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333502069820).

2190440880000 is an abundant number, since it is smaller than the sum of its proper divisors (6476563259640).

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

2190440880000 is an frugal number, since it uses more digits than its factorization.

2190440880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 2190440880000 in words is "two trillion, one hundred ninety billion, four hundred forty million, eight hundred eighty thousand".