1749742240 has 96 divisors (see below), whose sum is σ = 4333766976. Its totient is φ = 666839040.

The previous prime is 1749742237. The next prime is 1749742259. The reversal of 1749742240 is 422479471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 1749742193 and 1749742202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278979 + ... + 285181.

It is an arithmetic number, because the mean of its divisors is an integer number (45143406).

Almost surely, 2^1749742240 is an apocalyptic number.

1749742240 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 1749742240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166883488).

1749742240 is an abundant number, since it is smaller than the sum of its proper divisors (2584024736).

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

1749742240 is a wasteful number, since it uses less digits than its factorization.

1749742240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6294 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 1749742240 is about 41829.9203919874. The cubic root of 1749742240 is about 1205.0119636330.

The spelling of 1749742240 in words is "one billion, seven hundred forty-nine million, seven hundred forty-two thousand, two hundred forty".