2833294464 has 864 divisors, whose sum is σ = 11618465040. Its totient is φ = 679311360.

The previous prime is 2833294393. The next prime is 2833294481. The reversal of 2833294464 is 4644923382.

2833294464 is a `hidden beast` number, since 283 + 329 + 4 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×2833294464³ (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (995328) is a multiple of the sum of its prime divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 217945722 + ... + 217945734.

Almost surely, 2^2833294464 is an apocalyptic number.

2833294464 is a gapful number since it is divisible by the number (24) 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 2833294464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5809232520).

2833294464 is an abundant number, since it is smaller than the sum of its proper divisors (8785170576).

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

2833294464 is a wasteful number, since it uses less digits than its factorization.

2833294464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 36 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2833294464 is about 53228.6996271748. The cubic root of 2833294464 is about 1415.0243206914.

The spelling of 2833294464 in words is "two billion, eight hundred thirty-three million, two hundred ninety-four thousand, four hundred sixty-four".