234287400240 has 240 divisors, whose sum is σ = 818135136000. Its totient is φ = 62309834496.

The previous prime is 234287400239. The next prime is 234287400323. The reversal of 234287400240 is 42004782432.

234287400240 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 8 + 7 + 400 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×234287400240² (a number of 24 digits) contains 22 as substring.

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 = 234287400195 and 234287400204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7351861 + ... + 7383659.

It is an arithmetic number, because the mean of its divisors is an integer number (3408896400).

Almost surely, 2^234287400240 is an apocalyptic number.

234287400240 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 234287400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409067568000).

234287400240 is an abundant number, since it is smaller than the sum of its proper divisors (583847735760).

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

234287400240 is a wasteful number, since it uses less digits than its factorization.

234287400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32206 (or 32188 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The spelling of 234287400240 in words is "two hundred thirty-four billion, two hundred eighty-seven million, four hundred thousand, two hundred forty".