2385028800 has 840 divisors, whose sum is σ = 10975726080. Its totient is φ = 493516800.

The previous prime is 2385028783. The next prime is 2385028801. The reversal of 2385028800 is 88205832.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2385028801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 9979081 + ... + 9979319.

Almost surely, 2^2385028800 is an apocalyptic number.

2385028800 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 2385028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5487863040).

2385028800 is an abundant number, since it is smaller than the sum of its proper divisors (8590697280).

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

2385028800 is a wasteful number, since it uses less digits than its factorization.

2385028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2385028800 is about 48836.7566490651. The cubic root of 2385028800 is about 1336.0761427673.

It can be divided in two parts, 23850 and 28800, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 2385028800 in words is "two billion, three hundred eighty-five million, twenty-eight thousand, eight hundred".