2855735424 has 48 divisors (see below), whose sum is σ = 8217679470. Its totient is φ = 951911424.

The previous prime is 2855735413. The next prime is 2855735437. The reversal of 2855735424 is 4245375582.

2855735424 is a `hidden beast` number, since 2 + 8 + 5 + 573 + 54 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2805609024 + 50126400 = 52968^2 + 7080^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2855735424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1238317 + ... + 1240620.

Almost surely, 2^2855735424 is an apocalyptic number.

2855735424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2855735424 is an abundant number, since it is smaller than the sum of its proper divisors (5361944046).

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

2855735424 is a wasteful number, since it uses less digits than its factorization.

2855735424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478957 (or 2478942 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 2855735424 is about 53439.0814292312. The cubic root of 2855735424 is about 1418.7503758685.

The spelling of 2855735424 in words is "two billion, eight hundred fifty-five million, seven hundred thirty-five thousand, four hundred twenty-four".