2499806400 has 672 divisors, whose sum is σ = 10371002880. Its totient is φ = 513146880.

The previous prime is 2499806363. The next prime is 2499806423. The reversal of 2499806400 is 46089942.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25771152 + ... + 25771248.

It is an arithmetic number, because the mean of its divisors is an integer number (15433040).

Almost surely, 2^2499806400 is an apocalyptic number.

2499806400 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 2499806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185501440).

2499806400 is an abundant number, since it is smaller than the sum of its proper divisors (7871196480).

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

2499806400 is a wasteful number, since it uses less digits than its factorization.

2499806400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2499806400 is about 49998.0639625176. The cubic root of 2499806400 is about 1357.1737733097.

The spelling of 2499806400 in words is "two billion, four hundred ninety-nine million, eight hundred six thousand, four hundred".