233981280720 has 320 divisors, whose sum is σ = 885632244480. Its totient is φ = 56307916800.

The previous prime is 233981280619. The next prime is 233981280737. The reversal of 233981280720 is 27082189332.

233981280720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3219180 + ... + 3291060.

It is an arithmetic number, because the mean of its divisors is an integer number (2767600764).

Almost surely, 2^233981280720 is an apocalyptic number.

233981280720 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 233981280720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442816122240).

233981280720 is an abundant number, since it is smaller than the sum of its proper divisors (651650963760).

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

233981280720 is a wasteful number, since it uses less digits than its factorization.

233981280720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72051 (or 72039 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 233981280720 in words is "two hundred thirty-three billion, nine hundred eighty-one million, two hundred eighty thousand, seven hundred twenty".