1740342240 has 768 divisors, whose sum is σ = 7925299200. Its totient is φ = 346374144.

The previous prime is 1740342199. The next prime is 1740342251. The reversal of 1740342240 is 422430471.

1740342240 is a `hidden beast` number, since 17 + 403 + 4 + 2 + 240 = 666.

It is a super-2 number, since 2×1740342240² = 6057582224656435200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7469164 + ... + 7469396.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^1740342240 is an apocalyptic number.

1740342240 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 1740342240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962649600).

1740342240 is an abundant number, since it is smaller than the sum of its proper divisors (6184956960).

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

1740342240 is a wasteful number, since it uses less digits than its factorization.

1740342240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1740342240 is about 41717.4093155364. The cubic root of 1740342240 is about 1202.8502248222.

The spelling of 1740342240 in words is "one billion, seven hundred forty million, three hundred forty-two thousand, two hundred forty".