2835516990 has 96 divisors (see below), whose sum is σ = 7155319680. Its totient is φ = 718912320.

The previous prime is 2835516979. The next prime is 2835516997. The reversal of 2835516990 is 996155382.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835516997) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1700137 + ... + 1701803.

It is an arithmetic number, because the mean of its divisors is an integer number (74534580).

Almost surely, 2^2835516990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835516990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3577659840).

2835516990 is an abundant number, since it is smaller than the sum of its proper divisors (4319802690).

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

2835516990 is a wasteful number, since it uses less digits than its factorization.

2835516990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1798 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 48.

The square root of 2835516990 is about 53249.5726743417. The cubic root of 2835516990 is about 1415.3942206335.

The spelling of 2835516990 in words is "two billion, eight hundred thirty-five million, five hundred sixteen thousand, nine hundred ninety".