2190986109312 has 768 divisors, whose sum is σ = 7882224721920. Its totient is φ = 523623260160.

The previous prime is 2190986109293. The next prime is 2190986109343. The reversal of 2190986109312 is 2139016890912.

It is a super-2 number, since 2×2190986109312² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2313606823 + ... + 2313607769.

It is an arithmetic number, because the mean of its divisors is an integer number (10263313440).

Almost surely, 2^{2190986109312} is an apocalyptic number.

2190986109312 is a gapful number since it is divisible by the number (22) 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 2190986109312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3941112360960).

2190986109312 is an abundant number, since it is smaller than the sum of its proper divisors (5691238612608).

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

2190986109312 is a wasteful number, since it uses less digits than its factorization.

2190986109312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 51.

The spelling of 2190986109312 in words is "two trillion, one hundred ninety billion, nine hundred eighty-six million, one hundred nine thousand, three hundred twelve".