238084259040 has 240 divisors, whose sum is σ = 854016276960. Its totient is φ = 62448122880.

The previous prime is 238084258999. The next prime is 238084259041. The reversal of 238084259040 is 40952480832.

238084259040 is a `hidden beast` number, since 23 + 80 + 8 + 425 + 90 + 40 = 666.

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

It is a super-2 number, since 2×238084259040² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238084259041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 639981 + ... + 941139.

It is an arithmetic number, because the mean of its divisors is an integer number (3558401154).

Almost surely, 2^238084259040 is an apocalyptic number.

238084259040 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 238084259040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427008138480).

238084259040 is an abundant number, since it is smaller than the sum of its proper divisors (615932017920).

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

238084259040 is a wasteful number, since it uses less digits than its factorization.

238084259040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301247 (or 301230 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 238084259040 in words is "two hundred thirty-eight billion, eighty-four million, two hundred fifty-nine thousand, forty".