2380528224 has 384 divisors, whose sum is σ = 7772889600. Its totient is φ = 705576960.

The previous prime is 2380528193. The next prime is 2380528253. The reversal of 2380528224 is 4228250832.

2380528224 is a `hidden beast` number, since 2 + 380 + 52 + 8 + 224 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35530239 + ... + 35530305.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 2^2380528224 is an apocalyptic number.

2380528224 is a gapful number since it is divisible by the number (24) 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 2380528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886444800).

2380528224 is an abundant number, since it is smaller than the sum of its proper divisors (5392361376).

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

2380528224 is a wasteful number, since it uses less digits than its factorization.

2380528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2380528224 is about 48790.6571384317. The cubic root of 2380528224 is about 1335.2352167287.

The spelling of 2380528224 in words is "two billion, three hundred eighty million, five hundred twenty-eight thousand, two hundred twenty-four".