2454040000 has 140 divisors (see below), whose sum is σ = 6407480200. Its totient is φ = 929664000.

The previous prime is 2454039997. The next prime is 2454040031. The reversal of 2454040000 is 404542.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 2454040000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 758386 + ... + 761614.

Almost surely, 2^2454040000 is an apocalyptic number.

2454040000 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 2454040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203740100).

2454040000 is an abundant number, since it is smaller than the sum of its proper divisors (3953440200).

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

2454040000 is an equidigital number, since it uses as much as digits as its factorization.

2454040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 2454040000 is about 49538.2680359336. The cubic root of 2454040000 is about 1348.8403392898.

Adding to 2454040000 its reverse (404542), we get a palindrome (2454444542).

The spelling of 2454040000 in words is "two billion, four hundred fifty-four million, forty thousand".