2827064880 has 60 divisors (see below), whose sum is σ = 9494228640. Its totient is φ = 753883776.

The previous prime is 2827064879. The next prime is 2827064927. The reversal of 2827064880 is 884607282.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 1962520 + ... + 1963959.

It is an arithmetic number, because the mean of its divisors is an integer number (158237144).

Almost surely, 2^2827064880 is an apocalyptic number.

2827064880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2827064880 is an abundant number, since it is smaller than the sum of its proper divisors (6667163760).

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

2827064880 is a wasteful number, since it uses less digits than its factorization.

2827064880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3926498 (or 3926489 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 2827064880 is about 53170.1502724978. The cubic root of 2827064880 is about 1413.9864851227.

The spelling of 2827064880 in words is "two billion, eight hundred twenty-seven million, sixty-four thousand, eight hundred eighty".