2534786856 has 144 divisors (see below), whose sum is σ = 8009202240. Its totient is φ = 722111040.

The previous prime is 2534786809. The next prime is 2534786867. The reversal of 2534786856 is 6586874352.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1519735 + ... + 1521401.

It is an arithmetic number, because the mean of its divisors is an integer number (55619460).

Almost surely, 2^2534786856 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 2534786856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004601120).

2534786856 is an abundant number, since it is smaller than the sum of its proper divisors (5474415384).

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

2534786856 is a wasteful number, since it uses less digits than its factorization.

2534786856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2110 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The square root of 2534786856 is about 50346.6667814266. Note that the first 3 decimals coincide. The cubic root of 2534786856 is about 1363.4749041609.

The spelling of 2534786856 in words is "two billion, five hundred thirty-four million, seven hundred eighty-six thousand, eight hundred fifty-six".