2853435424 has 144 divisors (see below), whose sum is σ = 6894720000. Its totient is φ = 1157345280.

The previous prime is 2853435413. The next prime is 2853435451. The reversal of 2853435424 is 4245343582.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 2283952 + ... + 2285200.

It is an arithmetic number, because the mean of its divisors is an integer number (47880000).

Almost surely, 2^2853435424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2853435424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447360000).

2853435424 is an abundant number, since it is smaller than the sum of its proper divisors (4041284576).

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

2853435424 is a wasteful number, since it uses less digits than its factorization.

2853435424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1336 counting only the distinct ones).

The product of its digits is 460800, while the sum is 40.

The square root of 2853435424 is about 53417.5572635065. The cubic root of 2853435424 is about 1418.3693879256.

The spelling of 2853435424 in words is "two billion, eight hundred fifty-three million, four hundred thirty-five thousand, four hundred twenty-four".