2190746601680 has 480 divisors, whose sum is σ = 6732741576960. Its totient is φ = 655274188800.

The previous prime is 2190746601671. The next prime is 2190746601697. The reversal of 2190746601680 is 861066470912.

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, 442483205 + ... + 442488155.

It is an arithmetic number, because the mean of its divisors is an integer number (14026544952).

Almost surely, 2^{2190746601680} is an apocalyptic number.

2190746601680 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 2190746601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3366370788480).

2190746601680 is an abundant number, since it is smaller than the sum of its proper divisors (4541994975280).

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

2190746601680 is a wasteful number, since it uses less digits than its factorization.

2190746601680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5467 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 50.

The spelling of 2190746601680 in words is "two trillion, one hundred ninety billion, seven hundred forty-six million, six hundred one thousand, six hundred eighty".