2001684090 has 128 divisors (see below), whose sum is σ = 5717583360. Its totient is φ = 438939648.

The previous prime is 2001684079. The next prime is 2001684103. The reversal of 2001684090 is 904861002.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565446 + ... + 568974.

It is an arithmetic number, because the mean of its divisors is an integer number (44668620).

Almost surely, 2^2001684090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001684090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858791680).

2001684090 is an abundant number, since it is smaller than the sum of its proper divisors (3715899270).

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

2001684090 is a wasteful number, since it uses less digits than its factorization.

2001684090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3656.

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 2001684090 is about 44740.1842866120. The cubic root of 2001684090 is about 1260.2745874221.

The spelling of 2001684090 in words is "two billion, one million, six hundred eighty-four thousand, ninety".