2827060464 has 80 divisors (see below), whose sum is σ = 7706451200. Its totient is φ = 890569728.

The previous prime is 2827060429. The next prime is 2827060471. The reversal of 2827060464 is 4640607282.

It is a super-2 number, since 2×2827060464² = 15984541734223790592, which contains 22 as substring.

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, 391317 + ... + 398475.

It is an arithmetic number, because the mean of its divisors is an integer number (96330640).

Almost surely, 2^2827060464 is an apocalyptic number.

2827060464 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 2827060464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853225600).

2827060464 is an abundant number, since it is smaller than the sum of its proper divisors (4879390736).

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

2827060464 is a wasteful number, since it uses less digits than its factorization.

2827060464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7622 (or 7616 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2827060464 is about 53170.1087454220. The cubic root of 2827060464 is about 1413.9857488859.

The spelling of 2827060464 in words is "two billion, eight hundred twenty-seven million, sixty thousand, four hundred sixty-four".