2499666400 has 648 divisors, whose sum is σ = 8528079168. Its totient is φ = 709632000.

The previous prime is 2499666373. The next prime is 2499666409. The reversal of 2499666400 is 46669942.

It is a super-5 number, since 5×2499666400⁵ (a number of 48 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2499666409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 80634385 + ... + 80634415.

It is an arithmetic number, because the mean of its divisors is an integer number (13160616).

Almost surely, 2^2499666400 is an apocalyptic number.

2499666400 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 2499666400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264039584).

2499666400 is an abundant number, since it is smaller than the sum of its proper divisors (6028412768).

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

2499666400 is a wasteful number, since it uses less digits than its factorization.

2499666400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The square root of 2499666400 is about 49996.6638887036. The cubic root of 2499666400 is about 1357.1484369643.

The spelling of 2499666400 in words is "two billion, four hundred ninety-nine million, six hundred sixty-six thousand, four hundred".