1901782116 has 72 divisors (see below), whose sum is σ = 5262022584. Its totient is φ = 575562240.

The previous prime is 1901782087. The next prime is 1901782121. The reversal of 1901782116 is 6112871091.

It can be written as a sum of positive squares in 4 ways, for example, as 419840100 + 1481942016 = 20490^2 + 38496^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4761 + ... + 61856.

It is an arithmetic number, because the mean of its divisors is an integer number (73083647).

Almost surely, 2^1901782116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1901782116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2631011292).

1901782116 is an abundant number, since it is smaller than the sum of its proper divisors (3360240468).

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

1901782116 is a wasteful number, since it uses less digits than its factorization.

1901782116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66701 (or 66696 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 36.

The square root of 1901782116 is about 43609.4269166656. The cubic root of 1901782116 is about 1238.9494475248.

The spelling of 1901782116 in words is "one billion, nine hundred one million, seven hundred eighty-two thousand, one hundred sixteen".