2499400800 has 864 divisors, whose sum is σ = 10509827328. Its totient is φ = 574801920.

The previous prime is 2499400789. The next prime is 2499400811. The reversal of 2499400800 is 80049942.

It is a happy number.

2499400800 is a `hidden beast` number, since 249 + 9 + 400 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2499400789) and next prime (2499400811).

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58125579 + ... + 58125621.

It is an arithmetic number, because the mean of its divisors is an integer number (12164152).

Almost surely, 2^2499400800 is an apocalyptic number.

2499400800 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 2499400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5254913664).

2499400800 is an abundant number, since it is smaller than the sum of its proper divisors (8010426528).

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

2499400800 is a wasteful number, since it uses less digits than its factorization.

2499400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2499400800 is about 49994.0076409163. The cubic root of 2499400800 is about 1357.1003676976.

It can be divided in two parts, 249 and 9400800, that added together give a palindrome (9401049).

The spelling of 2499400800 in words is "two billion, four hundred ninety-nine million, four hundred thousand, eight hundred".