2190433320960 has 272 divisors, whose sum is σ = 7421703487056. Its totient is φ = 549755813888.

The previous prime is 2190433320937. The next prime is 2190433320973. The reversal of 2190433320960 is 690233340912.

It is a tau number, because it is divible by the number of its divisors (272).

It is a nialpdrome in base 2.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 17408 × 15360 × 8192.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 2190433320960 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128849018872 + ... + 128849018888.

Almost surely, 2^{2190433320960} is an apocalyptic number.

2190433320960 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 2190433320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3710851743528).

2190433320960 is an abundant number, since it is smaller than the sum of its proper divisors (5231270166096).

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

2190433320960 is an frugal number, since it uses more digits than its factorization.

2190433320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 42.

The spelling of 2190433320960 in words is "two trillion, one hundred ninety billion, four hundred thirty-three million, three hundred twenty thousand, nine hundred sixty".