1682100030 has 128 divisors (see below), whose sum is σ = 4531645440. Its totient is φ = 396887040.

The previous prime is 1682100029. The next prime is 1682100073. The reversal of 1682100030 is 300012861.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 942519 + ... + 944301.

It is an arithmetic number, because the mean of its divisors is an integer number (35403480).

Almost surely, 2^1682100030 is an apocalyptic number.

1682100030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682100030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265822720).

1682100030 is an abundant number, since it is smaller than the sum of its proper divisors (2849545410).

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

1682100030 is a wasteful number, since it uses less digits than its factorization.

1682100030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 1682100030 is about 41013.4128060565. The cubic root of 1682100030 is about 1189.2795182093.

Adding to 1682100030 its reverse (300012861), we get a palindrome (1982112891).

The spelling of 1682100030 in words is "one billion, six hundred eighty-two million, one hundred thousand, thirty".