2192977991680 has 384 divisors, whose sum is σ = 6138597104640. Its totient is φ = 736353976320.

The previous prime is 2192977991629. The next prime is 2192977991707. The reversal of 2192977991680 is 861997792912.

It is a super-2 number, since 2×2192977991680² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149961287 + ... + 1149963193.

It is an arithmetic number, because the mean of its divisors is an integer number (15985929960).

Almost surely, 2^{2192977991680} is an apocalyptic number.

2192977991680 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 2192977991680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069298552320).

2192977991680 is an abundant number, since it is smaller than the sum of its proper divisors (3945619112960).

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

2192977991680 is a wasteful number, since it uses less digits than its factorization.

2192977991680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 61725888, while the sum is 70.

The spelling of 2192977991680 in words is "two trillion, one hundred ninety-two billion, nine hundred seventy-seven million, nine hundred ninety-one thousand, six hundred eighty".