2468575200 has 576 divisors, whose sum is σ = 10079354880. Its totient is φ = 510935040.

The previous prime is 2468575183. The next prime is 2468575237. The reversal of 2468575200 is 25758642.

2468575200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19437537 + ... + 19437663.

It is an arithmetic number, because the mean of its divisors is an integer number (17498880).

Almost surely, 2^2468575200 is an apocalyptic number.

2468575200 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 2468575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039677440).

2468575200 is an abundant number, since it is smaller than the sum of its proper divisors (7610779680).

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

2468575200 is a wasteful number, since it uses less digits than its factorization.

2468575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 2468575200 is about 49684.7582262408. The cubic root of 2468575200 is about 1351.4981447946.

The spelling of 2468575200 in words is "two billion, four hundred sixty-eight million, five hundred seventy-five thousand, two hundred".