2835506268 has 216 divisors, whose sum is σ = 8787018240. Its totient is φ = 754971840.

The previous prime is 2835506257. The next prime is 2835506273. The reversal of 2835506268 is 8626055382.

2835506268 is a `hidden beast` number, since 2 + 83 + 5 + 506 + 2 + 68 = 666.

It is a super-3 number, since 3×2835506268³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6458793 + ... + 6459231.

It is an arithmetic number, because the mean of its divisors is an integer number (40680640).

Almost surely, 2^2835506268 is an apocalyptic number.

2835506268 is a gapful number since it is divisible by the number (28) 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 2835506268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4393509120).

2835506268 is an abundant number, since it is smaller than the sum of its proper divisors (5951511972).

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

2835506268 is a wasteful number, since it uses less digits than its factorization.

2835506268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2835506268 is about 53249.4719973823. The cubic root of 2835506268 is about 1415.3924366113.

The spelling of 2835506268 in words is "two billion, eight hundred thirty-five million, five hundred six thousand, two hundred sixty-eight".