1729242240 has 256 divisors, whose sum is σ = 6162791040. Its totient is φ = 408780800.

The previous prime is 1729242191. The next prime is 1729242241. The reversal of 1729242240 is 422429271.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1729242241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864922 + ... + 866918.

Almost surely, 2^1729242240 is an apocalyptic number.

1729242240 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 1729242240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081395520).

1729242240 is an abundant number, since it is smaller than the sum of its proper divisors (4433548800).

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

1729242240 is a wasteful number, since it uses less digits than its factorization.

1729242240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2071 (or 2059 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 1729242240 is about 41584.1585222065. The cubic root of 1729242240 is about 1200.2874866762.

The spelling of 1729242240 in words is "one billion, seven hundred twenty-nine million, two hundred forty-two thousand, two hundred forty".