2400332000 has 192 divisors, whose sum is σ = 6814342080. Its totient is φ = 821248000.

The previous prime is 2400331993. The next prime is 2400332021. The reversal of 2400332000 is 2330042.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746396 + ... + 749604.

It is an arithmetic number, because the mean of its divisors is an integer number (35491365).

Almost surely, 2^2400332000 is an apocalyptic number.

2400332000 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 2400332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3407171040).

2400332000 is an abundant number, since it is smaller than the sum of its proper divisors (4414010080).

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

2400332000 is a wasteful number, since it uses less digits than its factorization.

2400332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3262 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 2400332000 is about 48993.1831992982. The cubic root of 2400332000 is about 1338.9276339121.

Adding to 2400332000 its reverse (2330042), we get a palindrome (2402662042).

The spelling of 2400332000 in words is "two billion, four hundred million, three hundred thirty-two thousand".