2811609090 has 128 divisors (see below), whose sum is σ = 8108190720. Its totient is φ = 690591744.

The previous prime is 2811609049. The next prime is 2811609103. The reversal of 2811609090 is 909061182.

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, 209214 + ... + 222246.

It is an arithmetic number, because the mean of its divisors is an integer number (63345240).

Almost surely, 2^2811609090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2811609090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4054095360).

2811609090 is an abundant number, since it is smaller than the sum of its proper divisors (5296581630).

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

2811609090 is a wasteful number, since it uses less digits than its factorization.

2811609090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13113 (or 13107 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 2811609090 is about 53024.6083436738. The cubic root of 2811609090 is about 1411.4049825308.

The spelling of 2811609090 in words is "two billion, eight hundred eleven million, six hundred nine thousand, ninety".