2827975680 has 264 divisors, whose sum is σ = 10166253552. Its totient is φ = 753795072.

The previous prime is 2827975673. The next prime is 2827975727. The reversal of 2827975680 is 865797282.

It is a happy number.

2827975680 is a `hidden beast` number, since 2 + 8 + 2 + 79 + 7 + 568 + 0 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243024 + ... + 1245296.

Almost surely, 2^2827975680 is an apocalyptic number.

2827975680 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 2827975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5083126776).

2827975680 is an abundant number, since it is smaller than the sum of its proper divisors (7338277872).

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

2827975680 is an equidigital number, since it uses as much as digits as its factorization.

2827975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2283 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The square root of 2827975680 is about 53178.7145388077. The cubic root of 2827975680 is about 1414.1383175787.

The spelling of 2827975680 in words is "two billion, eight hundred twenty-seven million, nine hundred seventy-five thousand, six hundred eighty".