2486668800 has 720 divisors, whose sum is σ = 10606856832. Its totient is φ = 498892800.

The previous prime is 2486668741. The next prime is 2486668867. The reversal of 2486668800 is 88666842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2486668800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85747186 + ... + 85747214.

Almost surely, 2^2486668800 is an apocalyptic number.

2486668800 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 2486668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303428416).

2486668800 is an abundant number, since it is smaller than the sum of its proper divisors (8120188032).

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

2486668800 is a wasteful number, since it uses less digits than its factorization.

2486668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2486668800 is about 49866.5098036749. The cubic root of 2486668800 is about 1354.7920778625.

The spelling of 2486668800 in words is "two billion, four hundred eighty-six million, six hundred sixty-eight thousand, eight hundred".