1713882240 has 320 divisors, whose sum is σ = 6996432960. Its totient is φ = 391661568.

The previous prime is 1713882229. The next prime is 1713882271. The reversal of 1713882240 is 422883171.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1713882195 and 1713882204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 360519 + ... + 365241.

It is an arithmetic number, because the mean of its divisors is an integer number (21863853).

Almost surely, 2^1713882240 is an apocalyptic number.

1713882240 is a gapful number since it is divisible by the number (10) 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 1713882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498216480).

1713882240 is an abundant number, since it is smaller than the sum of its proper divisors (5282550720).

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

1713882240 is an equidigital number, since it uses as much as digits as its factorization.

1713882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4740 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1713882240 is about 41399.0608589132. The cubic root of 1713882240 is about 1196.7230595299.

The spelling of 1713882240 in words is "one billion, seven hundred thirteen million, eight hundred eighty-two thousand, two hundred forty".