2190384000 has 768 divisors, whose sum is σ = 9382988160. Its totient is φ = 479232000.

The previous prime is 2190383999. The next prime is 2190384067. The reversal of 2190384000 is 4830912.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41327974 + ... + 41328026.

Almost surely, 2^2190384000 is an apocalyptic number.

2190384000 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 2190384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691494080).

2190384000 is an abundant number, since it is smaller than the sum of its proper divisors (7192604160).

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

2190384000 is a wasteful number, since it uses less digits than its factorization.

2190384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2190384000 is about 46801.5384362523. The cubic root of 2190384000 is about 1298.6937569571.

The spelling of 2190384000 in words is "two billion, one hundred ninety million, three hundred eighty-four thousand".