1741824056 has 64 divisors (see below), whose sum is σ = 3793305600. Its totient is φ = 734410368.

The previous prime is 1741824047. The next prime is 1741824067. The reversal of 1741824056 is 6504281471.

It is a super-2 number, since 2×1741824056² = 6067902084120582272, 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1361225 + ... + 1362503.

It is an arithmetic number, because the mean of its divisors is an integer number (59270400).

Almost surely, 2^1741824056 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 1741824056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896652800).

1741824056 is an abundant number, since it is smaller than the sum of its proper divisors (2051481544).

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

1741824056 is a wasteful number, since it uses less digits than its factorization.

1741824056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 1741824056 is about 41735.1656999226. The cubic root of 1741824056 is about 1203.1915172858.

The spelling of 1741824056 in words is "one billion, seven hundred forty-one million, eight hundred twenty-four thousand, fifty-six".