32245530240 has 256 divisors, whose sum is σ = 128145162240. Its totient is φ = 6700339200.

The previous prime is 32245530221. The next prime is 32245530263. The reversal of 32245530240 is 4203554223.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 32245530198 and 32245530207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38785 + ... + 256895.

It is an arithmetic number, because the mean of its divisors is an integer number (500567040).

Almost surely, 2^32245530240 is an apocalyptic number.

32245530240 is a gapful number since it is divisible by the number (30) 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 32245530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64072581120).

32245530240 is an abundant number, since it is smaller than the sum of its proper divisors (95899632000).

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

32245530240 is a wasteful number, since it uses less digits than its factorization.

32245530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218151 (or 218139 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 32245530240 in words is "thirty-two billion, two hundred forty-five million, five hundred thirty thousand, two hundred forty".