2081901600 has 432 divisors, whose sum is σ = 7913446632. Its totient is φ = 513146880.

The previous prime is 2081901593. The next prime is 2081901643. The reversal of 2081901600 is 61091802.

It can be written as a sum of positive squares in 12 ways, for example, as 151880976 + 1930020624 = 12324^2 + 43932^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8935084 + ... + 8935316.

Almost surely, 2^2081901600 is an apocalyptic number.

2081901600 is a gapful number since it is divisible by the number (20) 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 2081901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3956723316).

2081901600 is an abundant number, since it is smaller than the sum of its proper divisors (5831545032).

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

2081901600 is a wasteful number, since it uses less digits than its factorization.

2081901600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2081901600 is about 45627.8599103662. The cubic root of 2081901600 is about 1276.8897467396.

The spelling of 2081901600 in words is "two billion, eighty-one million, nine hundred one thousand, six hundred".