2388668832 has 192 divisors, whose sum is σ = 7664025600. Its totient is φ = 717776640.

The previous prime is 2388668831. The next prime is 2388668879.

2388668832 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (2388668831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1206019 + ... + 1207997.

It is an arithmetic number, because the mean of its divisors is an integer number (39916800).

Almost surely, 2^2388668832 is an apocalyptic number.

2388668832 is a gapful number since it is divisible by the number (22) 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 2388668832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3832012800).

2388668832 is an abundant number, since it is smaller than the sum of its proper divisors (5275356768).

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

2388668832 is a wasteful number, since it uses less digits than its factorization.

2388668832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2136 (or 2122 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 2388668832 is about 48874.0097802503. The cubic root of 2388668832 is about 1336.7555039356.

The spelling of 2388668832 in words is "two billion, three hundred eighty-eight million, six hundred sixty-eight thousand, eight hundred thirty-two".