233095242240 has 840 divisors, whose sum is σ = 975129021900. Its totient is φ = 53258010624.

The previous prime is 233095242173. The next prime is 233095242257. The reversal of 233095242240 is 42242590332.

233095242240 is a `hidden beast` number, since 23 + 309 + 52 + 42 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225404653824 + 7690588416 = 474768^2 + 87696^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233095242195 and 233095242204.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91444486 + ... + 91447034.

Almost surely, 2^233095242240 is an apocalyptic number.

233095242240 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 233095242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487564510950).

233095242240 is an abundant number, since it is smaller than the sum of its proper divisors (742033779660).

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

233095242240 is an frugal number, since it uses more digits than its factorization.

233095242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2604 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 233095242240 in words is "two hundred thirty-three billion, ninety-five million, two hundred forty-two thousand, two hundred forty".