1682441280 has 280 divisors, whose sum is σ = 6446395032. Its totient is φ = 414056448.

The previous prime is 1682441239. The next prime is 1682441303. The reversal of 1682441280 is 821442861.

1682441280 is a `hidden beast` number, since 168 + 2 + 4 + 412 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 1678377024 = 2016^2 + 40968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334464 + ... + 339456.

Almost surely, 2^1682441280 is an apocalyptic number.

1682441280 is a gapful number since it is divisible by the number (10) 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 1682441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223197516).

1682441280 is an abundant number, since it is smaller than the sum of its proper divisors (4763953752).

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

1682441280 is a wasteful number, since it uses less digits than its factorization.

1682441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5035 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1682441280 is about 41017.5728194636. The cubic root of 1682441280 is about 1189.3599363744.

The spelling of 1682441280 in words is "one billion, six hundred eighty-two million, four hundred forty-one thousand, two hundred eighty".