2400824320 has 88 divisors (see below), whose sum is σ = 6098160384. Its totient is φ = 903806976.

The previous prime is 2400824243. The next prime is 2400824323. The reversal of 2400824320 is 234280042.

It is not an unprimeable number, because it can be changed into a prime (2400824323) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73249 + ... + 100831.

Almost surely, 2^2400824320 is an apocalyptic number.

2400824320 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 2400824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3049080192).

2400824320 is an abundant number, since it is smaller than the sum of its proper divisors (3697336064).

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

2400824320 is a wasteful number, since it uses less digits than its factorization.

2400824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27625 (or 27607 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 2400824320 is about 48998.2073141457. The cubic root of 2400824320 is about 1339.0191678875.

The spelling of 2400824320 in words is "two billion, four hundred million, eight hundred twenty-four thousand, three hundred twenty".