233925932298240 has 2496 divisors, whose sum is σ = 1093141188921600. Its totient is φ = 44849122246656.

The previous prime is 233925932298217. The next prime is 233925932298281. The reversal of 233925932298240 is 42892239529332.

233925932298240 is a `hidden beast` number, since 2 + 3 + 39 + 2 + 593 + 2 + 2 + 9 + 8 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8269134016 + ... + 8269162304.

It is an arithmetic number, because the mean of its divisors is an integer number (437957207100).

Almost surely, 2^{233925932298240} is an apocalyptic number.

233925932298240 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 233925932298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546570594460800).

233925932298240 is an abundant number, since it is smaller than the sum of its proper divisors (859215256623360).

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

233925932298240 is a wasteful number, since it uses less digits than its factorization.

233925932298240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28390 (or 28365 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 233925932298240 in words is "two hundred thirty-three trillion, nine hundred twenty-five billion, nine hundred thirty-two million, two hundred ninety-eight thousand, two hundred forty".