1749661056 has 576 divisors, whose sum is σ = 6406171200. Its totient is φ = 452874240.

The previous prime is 1749661033. The next prime is 1749661073. The reversal of 1749661056 is 6501669471.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1749661056² = 6122627621766070272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 40689771 + ... + 40689813.

It is an arithmetic number, because the mean of its divisors is an integer number (11121825).

Almost surely, 2^1749661056 is an apocalyptic number.

1749661056 is a gapful number since it is divisible by the number (16) 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 1749661056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203085600).

1749661056 is an abundant number, since it is smaller than the sum of its proper divisors (4656510144).

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

1749661056 is a wasteful number, since it uses less digits than its factorization.

1749661056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1749661056 is about 41828.9499748679. The cubic root of 1749661056 is about 1204.9933267538.

The spelling of 1749661056 in words is "one billion, seven hundred forty-nine million, six hundred sixty-one thousand, fifty-six".