2935056384 has 240 divisors, whose sum is σ = 9448098660. Its totient is φ = 902430720.

The previous prime is 2935056367. The next prime is 2935056391. The reversal of 2935056384 is 4836505392.

2935056384 is a `hidden beast` number, since 2 + 9 + 3 + 5 + 0 + 5 + 638 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2540160000 + 394896384 = 50400^2 + 19872^2 .

It is a super-2 number, since 2×2935056384² = 17229111954518310912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2155864 + ... + 2157224.

Almost surely, 2^2935056384 is an apocalyptic number.

2935056384 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 2935056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724049330).

2935056384 is an abundant number, since it is smaller than the sum of its proper divisors (6513042276).

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

2935056384 is a wasteful number, since it uses less digits than its factorization.

2935056384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The square root of 2935056384 is about 54176.1606613093. The cubic root of 2935056384 is about 1431.7663445327.

The spelling of 2935056384 in words is "two billion, nine hundred thirty-five million, fifty-six thousand, three hundred eighty-four".