2330729640 has 288 divisors, whose sum is σ = 8034979680. Its totient is φ = 608300928.

The previous prime is 2330729551. The next prime is 2330729683. The reversal of 2330729640 is 469270332.

It is a happy number.

2330729640 is a `hidden beast` number, since 2 + 3 + 3 + 0 + 7 + 2 + 9 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2330729595 and 2330729604.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21782467 + ... + 21782573.

It is an arithmetic number, because the mean of its divisors is an integer number (27899235).

Almost surely, 2^2330729640 is an apocalyptic number.

2330729640 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 2330729640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017489840).

2330729640 is an abundant number, since it is smaller than the sum of its proper divisors (5704250040).

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

2330729640 is an equidigital number, since it uses as much as digits as its factorization.

2330729640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2330729640 is about 48277.6308449369. The cubic root of 2330729640 is about 1325.8588740287.

Adding to 2330729640 its reverse (469270332), we get a palindrome (2799999972).

The spelling of 2330729640 in words is "two billion, three hundred thirty million, seven hundred twenty-nine thousand, six hundred forty".