1742985216 has 480 divisors, whose sum is σ = 6342336000. Its totient is φ = 465813504.

The previous prime is 1742985193. The next prime is 1742985229. The reversal of 1742985216 is 6125892471.

1742985216 is a `hidden beast` number, since 1 + 7 + 429 + 8 + 5 + 216 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22063065 + ... + 22063143.

It is an arithmetic number, because the mean of its divisors is an integer number (13213200).

Almost surely, 2^1742985216 is an apocalyptic number.

1742985216 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 1742985216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171168000).

1742985216 is an abundant number, since it is smaller than the sum of its proper divisors (4599350784).

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

1742985216 is an equidigital number, since it uses as much as digits as its factorization.

1742985216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 110 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 1742985216 is about 41749.0744328542. The cubic root of 1742985216 is about 1203.4588208865.

The spelling of 1742985216 in words is "one billion, seven hundred forty-two million, nine hundred eighty-five thousand, two hundred sixteen".