2827582464 has 176 divisors, whose sum is σ = 8989244928. Its totient is φ = 772620288.

The previous prime is 2827582427. The next prime is 2827582481. The reversal of 2827582464 is 4642857282.

It is a super-2 number, since 2×2827582464² = 15990445181440622592, 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 (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 491734 + ... + 497450.

Almost surely, 2^2827582464 is an apocalyptic number.

2827582464 is a gapful number since it is divisible by the number (24) 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 2827582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4494622464).

2827582464 is an abundant number, since it is smaller than the sum of its proper divisors (6161662464).

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

2827582464 is a wasteful number, since it uses less digits than its factorization.

2827582464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 5752 counting only the distinct ones).

The product of its digits is 1720320, while the sum is 48.

The square root of 2827582464 is about 53175.0172919577. The cubic root of 2827582464 is about 1414.0727715662.

The spelling of 2827582464 in words is "two billion, eight hundred twenty-seven million, five hundred eighty-two thousand, four hundred sixty-four".