32204258240 has 672 divisors, whose sum is σ = 106076252160. Its totient is φ = 9173606400.

The previous prime is 32204258237. The next prime is 32204258249. The reversal of 32204258240 is 4285240223.

It is a super-2 number, since 2×32204258240² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 32204258197 and 32204258206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32204258249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101590562 + ... + 101590878.

Almost surely, 2^32204258240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32204258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53038126080).

32204258240 is an abundant number, since it is smaller than the sum of its proper divisors (73871993920).

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

32204258240 is a wasteful number, since it uses less digits than its factorization.

32204258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 32204258240 its reverse (4285240223), we get a palindrome (36489498463).

The spelling of 32204258240 in words is "thirty-two billion, two hundred four million, two hundred fifty-eight thousand, two hundred forty".