2494042800 has 240 divisors, whose sum is σ = 8518919040. Its totient is φ = 621547520.

The previous prime is 2494042799. The next prime is 2494042801. The reversal of 2494042800 is 82404942.

It is an interprime number because it is at equal distance from previous prime (2494042799) and next prime (2494042801).

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (2494042801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3651259 + ... + 3651941.

It is an arithmetic number, because the mean of its divisors is an integer number (35495496).

Almost surely, 2^2494042800 is an apocalyptic number.

2494042800 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 2494042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4259459520).

2494042800 is an abundant number, since it is smaller than the sum of its proper divisors (6024876240).

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

2494042800 is a wasteful number, since it uses less digits than its factorization.

2494042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2494042800 is about 49940.3924694230. The cubic root of 2494042800 is about 1356.1299289881.

The spelling of 2494042800 in words is "two billion, four hundred ninety-four million, forty-two thousand, eight hundred".