2400640000 has 330 divisors, whose sum is σ = 6804096992. Its totient is φ = 844800000.

The previous prime is 2400639971. The next prime is 2400640003. The reversal of 2400640000 is 460042.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400640003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 77439985 + ... + 77440015.

Almost surely, 2^2400640000 is an apocalyptic number.

2400640000 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 2400640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3402048496).

2400640000 is an abundant number, since it is smaller than the sum of its proper divisors (4403456992).

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

2400640000 is an equidigital number, since it uses as much as digits as its factorization.

2400640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2400640000 is about 48996.3263929042. The cubic root of 2400640000 is about 1338.9848998894.

The spelling of 2400640000 in words is "two billion, four hundred million, six hundred forty thousand".