1742726916 has 144 divisors (see below), whose sum is σ = 5351149440. Its totient is φ = 466836480.

The previous prime is 1742726903. The next prime is 1742726917. The reversal of 1742726916 is 6196272471.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1742726917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1417390 + ... + 1418618.

It is an arithmetic number, because the mean of its divisors is an integer number (37160760).

Almost surely, 2^1742726916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742726916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675574720).

1742726916 is an abundant number, since it is smaller than the sum of its proper divisors (3608422524).

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

1742726916 is a wasteful number, since it uses less digits than its factorization.

1742726916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1589 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 1742726916 is about 41745.9808364829. The cubic root of 1742726916 is about 1203.3993694795.

The spelling of 1742726916 in words is "one billion, seven hundred forty-two million, seven hundred twenty-six thousand, nine hundred sixteen".