2329987968 has 192 divisors, whose sum is σ = 8359528320. Its totient is φ = 605168640.

The previous prime is 2329987949. The next prime is 2329987987. The reversal of 2329987968 is 8697899232.

It is an interprime number because it is at equal distance from previous prime (2329987949) and next prime (2329987987).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 75571 + ... + 101837.

It is an arithmetic number, because the mean of its divisors is an integer number (43539210).

Almost surely, 2^2329987968 is an apocalyptic number.

2329987968 is a gapful number since it is divisible by the number (28) 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 2329987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4179764160).

2329987968 is an abundant number, since it is smaller than the sum of its proper divisors (6029540352).

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

2329987968 is a wasteful number, since it uses less digits than its factorization.

2329987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26305 (or 26290 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 2329987968 is about 48269.9489123409. The cubic root of 2329987968 is about 1325.7182232628.

The spelling of 2329987968 in words is "two billion, three hundred twenty-nine million, nine hundred eighty-seven thousand, nine hundred sixty-eight".