2323920672 has 288 divisors, whose sum is σ = 7408376640. Its totient is φ = 708157440.

The previous prime is 2323920649. The next prime is 2323920707. The reversal of 2323920672 is 2760293232.

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

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 (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10237423 + ... + 10237649.

It is an arithmetic number, because the mean of its divisors is an integer number (25723530).

Almost surely, 2^2323920672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2323920672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704188320).

2323920672 is an abundant number, since it is smaller than the sum of its proper divisors (5084455968).

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

2323920672 is a wasteful number, since it uses less digits than its factorization.

2323920672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 2323920672 is about 48207.0603957553. The cubic root of 2323920672 is about 1324.5664981767.

The spelling of 2323920672 in words is "two billion, three hundred twenty-three million, nine hundred twenty thousand, six hundred seventy-two".