1742448064 has 112 divisors (see below), whose sum is σ = 4184294400. Its totient is φ = 704019456.

The previous prime is 1742448049. The next prime is 1742448083. The reversal of 1742448064 is 4608442471.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1742448064² = 6072250511474696192, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 557097 + ... + 560215.

Almost surely, 2^1742448064 is an apocalyptic number.

1742448064 is a gapful number since it is divisible by the number (14) 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 1742448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2092147200).

1742448064 is an abundant number, since it is smaller than the sum of its proper divisors (2441846336).

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

1742448064 is a wasteful number, since it uses less digits than its factorization.

1742448064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3210 (or 3200 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 40.

The square root of 1742448064 is about 41742.6408364397. The cubic root of 1742448064 is about 1203.3351811439.

The spelling of 1742448064 in words is "one billion, seven hundred forty-two million, four hundred forty-eight thousand, sixty-four".