2190830634720 has 1728 divisors, whose sum is σ = 9871804938240. Its totient is φ = 452059066368.

The previous prime is 2190830634659. The next prime is 2190830634739. The reversal of 2190830634720 is 274360380912.

2190830634720 is a `hidden beast` number, since 2 + 1 + 9 + 0 + 8 + 3 + 0 + 634 + 7 + 2 + 0 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1681373589 + ... + 1681374891.

It is an arithmetic number, because the mean of its divisors is an integer number (5712850080).

Almost surely, 2^{2190830634720} is an apocalyptic number.

2190830634720 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 2190830634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935902469120).

2190830634720 is an abundant number, since it is smaller than the sum of its proper divisors (7680974303520).

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

2190830634720 is a wasteful number, since it uses less digits than its factorization.

2190830634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 2190830634720 in words is "two trillion, one hundred ninety billion, eight hundred thirty million, six hundred thirty-four thousand, seven hundred twenty".