2569864336 has 80 divisors (see below), whose sum is σ = 5628389760. Its totient is φ = 1127808000.

The previous prime is 2569864321. The next prime is 2569864337. The reversal of 2569864336 is 6334689652.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (2569864337) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 854836 + ... + 857836.

It is an arithmetic number, because the mean of its divisors is an integer number (70354872).

Almost surely, 2^2569864336 is an apocalyptic number.

2569864336 is a gapful number since it is divisible by the number (26) 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 2569864336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2814194880).

2569864336 is an abundant number, since it is smaller than the sum of its proper divisors (3058525424).

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

2569864336 is a wasteful number, since it uses less digits than its factorization.

2569864336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3224 (or 3218 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 52.

The square root of 2569864336 is about 50693.8293680799. The cubic root of 2569864336 is about 1369.7355654935.

The spelling of 2569864336 in words is "two billion, five hundred sixty-nine million, eight hundred sixty-four thousand, three hundred thirty-six".