2163840000 has 660 divisors, whose sum is σ = 8748124704. Its totient is φ = 473088000.

The previous prime is 2163839999. The next prime is 2163840037. The reversal of 2163840000 is 483612.

It is a happy number.

It is a super-3 number, since 3×2163840000³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 94079989 + ... + 94080011.

Almost surely, 2^2163840000 is an apocalyptic number.

2163840000 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 2163840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4374062352).

2163840000 is an abundant number, since it is smaller than the sum of its proper divisors (6584284704).

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

2163840000 is an equidigital number, since it uses as much as digits as its factorization.

2163840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2163840000 is about 46517.0936323412. The cubic root of 2163840000 is about 1293.4263817516.

It can be divided in two parts, 216 and 3840000, that multiplied together give a square (829440000 = 28800²).

The spelling of 2163840000 in words is "two billion, one hundred sixty-three million, eight hundred forty thousand".