2864674560 has 144 divisors (see below), whose sum is σ = 9980933760. Its totient is φ = 694456320.

The previous prime is 2864674531. The next prime is 2864674591. The reversal of 2864674560 is 654764682.

It is a super-2 number, since 2×2864674560² = 16412720669422387200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8331 + ... + 76149.

It is an arithmetic number, because the mean of its divisors is an integer number (69312040).

Almost surely, 2^2864674560 is an apocalyptic number.

2864674560 is a gapful number since it is divisible by the number (20) 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 2864674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4990466880).

2864674560 is an abundant number, since it is smaller than the sum of its proper divisors (7116259200).

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

2864674560 is a wasteful number, since it uses less digits than its factorization.

2864674560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67854 (or 67840 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The square root of 2864674560 is about 53522.6546426838. The cubic root of 2864674560 is about 1420.2291767910.

The spelling of 2864674560 in words is "two billion, eight hundred sixty-four million, six hundred seventy-four thousand, five hundred sixty".