2190343680 has 480 divisors, whose sum is σ = 9008423424. Its totient is φ = 499654656.

The previous prime is 2190343663. The next prime is 2190343691. The reversal of 2190343680 is 863430912.

2190343680 is a `hidden beast` number, since 219 + 0 + 3 + 436 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4354309 + ... + 4354811.

Almost surely, 2^2190343680 is an apocalyptic number.

2190343680 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 2190343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504211712).

2190343680 is an abundant number, since it is smaller than the sum of its proper divisors (6818079744).

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

2190343680 is an frugal number, since it uses more digits than its factorization.

2190343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2190343680 is about 46801.1076791992. The cubic root of 2190343680 is about 1298.6857882396.

The spelling of 2190343680 in words is "two billion, one hundred ninety million, three hundred forty-three thousand, six hundred eighty".