2494018800 has 720 divisors, whose sum is σ = 11148953088. Its totient is φ = 501811200.

The previous prime is 2494018753. The next prime is 2494018801. The reversal of 2494018800 is 88104942.

2494018800 is a `hidden beast` number, since 249 + 401 + 8 + 8 + 0 + 0 = 666.

2494018800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494018801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7534635 + ... + 7534965.

Almost surely, 2^2494018800 is an apocalyptic number.

2494018800 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 2494018800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574476544).

2494018800 is an abundant number, since it is smaller than the sum of its proper divisors (8654934288).

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

2494018800 is a wasteful number, since it uses less digits than its factorization.

2494018800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2494018800 is about 49940.1521823873. The cubic root of 2494018800 is about 1356.1255789929.

The spelling of 2494018800 in words is "two billion, four hundred ninety-four million, eighteen thousand, eight hundred".