2400120000 has 420 divisors, whose sum is σ = 8819708040. Its totient is φ = 623616000.

The previous prime is 2400119987. The next prime is 2400120007. The reversal of 2400120000 is 210042.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2400120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21239944 + ... + 21240056.

Almost surely, 2^2400120000 is an apocalyptic number.

2400120000 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 2400120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4409854020).

2400120000 is an abundant number, since it is smaller than the sum of its proper divisors (6419588040).

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

2400120000 is a wasteful number, since it uses less digits than its factorization.

2400120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 2400120000 is about 48991.0195852260. The cubic root of 2400120000 is about 1338.8882142241. Note that the first 3 decimals are identical.

Adding to 2400120000 its reverse (210042), we get a palindrome (2400330042).

The spelling of 2400120000 in words is "two billion, four hundred million, one hundred twenty thousand".