2400013000 has 256 divisors, whose sum is σ = 7116595200. Its totient is φ = 735840000.

The previous prime is 2400012971. The next prime is 2400013003. The reversal of 2400013000 is 3100042.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2400013003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5466781 + ... + 5467219.

It is an arithmetic number, because the mean of its divisors is an integer number (27799200).

Almost surely, 2^2400013000 is an apocalyptic number.

2400013000 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 2400013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3558297600).

2400013000 is an abundant number, since it is smaller than the sum of its proper divisors (4716582200).

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

2400013000 is a wasteful number, since it uses less digits than its factorization.

2400013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2400013000 is about 48989.9275361783. The cubic root of 2400013000 is about 1338.8683175567.

Adding to 2400013000 its reverse (3100042), we get a palindrome (2403113042).

The spelling of 2400013000 in words is "two billion, four hundred million, thirteen thousand".