32902242240 has 448 divisors, whose sum is σ = 126172569600. Its totient is φ = 7096356864.

The previous prime is 32902242209. The next prime is 32902242379. The reversal of 32902242240 is 4224220923.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 32902242198 and 32902242207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56051227 + ... + 56051813.

It is an arithmetic number, because the mean of its divisors is an integer number (281635200).

Almost surely, 2^32902242240 is an apocalyptic number.

32902242240 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 32902242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63086284800).

32902242240 is an abundant number, since it is smaller than the sum of its proper divisors (93270327360).

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

32902242240 is a wasteful number, since it uses less digits than its factorization.

32902242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 32902242240 in words is "thirty-two billion, nine hundred two million, two hundred forty-two thousand, two hundred forty".