2434040000 has 140 divisors (see below), whose sum is σ = 6898654224. Its totient is φ = 834432000.

The previous prime is 2434039987. The next prime is 2434040003. The reversal of 2434040000 is 404342.

It is a tau number, because it is divible by the number of its divisors (140).

It is not an unprimeable number, because it can be changed into a prime (2434040003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 275654 + ... + 284346.

Almost surely, 2^2434040000 is an apocalyptic number.

2434040000 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 2434040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449327112).

2434040000 is an abundant number, since it is smaller than the sum of its proper divisors (4464614224).

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

2434040000 is an frugal number, since it uses more digits than its factorization.

2434040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8732 (or 8707 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2434040000 is about 49335.9909194089. The cubic root of 2434040000 is about 1345.1660680414.

Adding to 2434040000 its reverse (404342), we get a palindrome (2434444342).

The spelling of 2434040000 in words is "two billion, four hundred thirty-four million, forty thousand".