2382652800 has 768 divisors, whose sum is σ = 10017216000. Its totient is φ = 547430400.

The previous prime is 2382652787. The next prime is 2382652829. The reversal of 2382652800 is 82562832.

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 95 ways as a sum of consecutive naturals, for example, 21859146 + ... + 21859254.

It is an arithmetic number, because the mean of its divisors is an integer number (13043250).

Almost surely, 2^2382652800 is an apocalyptic number.

2382652800 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 2382652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5008608000).

2382652800 is an abundant number, since it is smaller than the sum of its proper divisors (7634563200).

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

2382652800 is a wasteful number, since it uses less digits than its factorization.

2382652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2382652800 is about 48812.4246478292. The cubic root of 2382652800 is about 1335.6323225969.

The spelling of 2382652800 in words is "two billion, three hundred eighty-two million, six hundred fifty-two thousand, eight hundred".