2382255360 has 576 divisors, whose sum is σ = 9171509760. Its totient is φ = 591224832.

The previous prime is 2382255329. The next prime is 2382255367. The reversal of 2382255360 is 635522832.

2382255360 is a `hidden beast` number, since 23 + 8 + 22 + 553 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 (2382255367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64385262 + ... + 64385298.

It is an arithmetic number, because the mean of its divisors is an integer number (15922760).

Almost surely, 2^2382255360 is an apocalyptic number.

2382255360 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 2382255360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585754880).

2382255360 is an abundant number, since it is smaller than the sum of its proper divisors (6789254400).

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

2382255360 is an frugal number, since it uses more digits than its factorization.

2382255360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2382255360 is about 48808.3533834117. The cubic root of 2382255360 is about 1335.5580547852.

The spelling of 2382255360 in words is "two billion, three hundred eighty-two million, two hundred fifty-five thousand, three hundred sixty".