2321578080 has 288 divisors, whose sum is σ = 8502006240. Its totient is φ = 575078400.

The previous prime is 2321578067. The next prime is 2321578087. The reversal of 2321578080 is 808751232.

2321578080 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 578 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (2321578087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1449280 + ... + 1450880.

It is an arithmetic number, because the mean of its divisors is an integer number (29520855).

Almost surely, 2^2321578080 is an apocalyptic number.

2321578080 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 2321578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251003120).

2321578080 is an abundant number, since it is smaller than the sum of its proper divisors (6180428160).

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

2321578080 is a wasteful number, since it uses less digits than its factorization.

2321578080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 1683 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2321578080 is about 48182.7570817611. The cubic root of 2321578080 is about 1324.1212790089.

The spelling of 2321578080 in words is "two billion, three hundred twenty-one million, five hundred seventy-eight thousand, eighty".