2400840000 has 840 divisors, whose sum is σ = 10109139040. Its totient is φ = 559872000.

The previous prime is 2400839971. The next prime is 2400840007. The reversal of 2400840000 is 480042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400840007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 126359991 + ... + 126360009.

Almost surely, 2^2400840000 is an apocalyptic number.

2400840000 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 2400840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5054569520).

2400840000 is an abundant number, since it is smaller than the sum of its proper divisors (7708299040).

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

2400840000 is an equidigital number, since it uses as much as digits as its factorization.

2400840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2400840000 is about 48998.3673197383. The cubic root of 2400840000 is about 1339.0220829661.

The spelling of 2400840000 in words is "two billion, four hundred million, eight hundred forty thousand".