2188312320 has 216 divisors, whose sum is σ = 7233822288. Its totient is φ = 563773440.

The previous prime is 2188312307. The next prime is 2188312333. The reversal of 2188312320 is 232138812.

It is an interprime number because it is at equal distance from previous prime (2188312307) and next prime (2188312333).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3689944 + ... + 3690536.

It is an arithmetic number, because the mean of its divisors is an integer number (33489918).

Almost surely, 2^2188312320 is an apocalyptic number.

2188312320 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 2188312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3616911144).

2188312320 is an abundant number, since it is smaller than the sum of its proper divisors (5045509968).

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

2188312320 is an equidigital number, since it uses as much as digits as its factorization.

2188312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2188312320 is about 46779.4005947062. The cubic root of 2188312320 is about 1298.2841900269.

The spelling of 2188312320 in words is "two billion, one hundred eighty-eight million, three hundred twelve thousand, three hundred twenty".