229649718240 has 384 divisors, whose sum is σ = 824840755200. Its totient is φ = 59640238080.

The previous prime is 229649718239. The next prime is 229649718247. The reversal of 229649718240 is 42817946922.

It is a happy number.

229649718240 is a `hidden beast` number, since 2 + 296 + 49 + 71 + 8 + 240 = 666.

It is a super-2 number, since 2×229649718240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229649718247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 174108301 + ... + 174109619.

It is an arithmetic number, because the mean of its divisors is an integer number (2148022800).

Almost surely, 2^229649718240 is an apocalyptic number.

229649718240 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 229649718240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412420377600).

229649718240 is an abundant number, since it is smaller than the sum of its proper divisors (595191036960).

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

229649718240 is a wasteful number, since it uses less digits than its factorization.

229649718240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2353 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 229649718240 in words is "two hundred twenty-nine billion, six hundred forty-nine million, seven hundred eighteen thousand, two hundred forty".