2870000064 has 84 divisors (see below), whose sum is σ = 8235254040. Its totient is φ = 955630080.

The previous prime is 2870000039. The next prime is 2870000087. The reversal of 2870000064 is 4600000782.

It is a junction number, because it is equal to n+sod(n) for n = 2869999992 and 2870000037.

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 11 ways as a sum of consecutive naturals, for example, 678147 + ... + 682365.

Almost surely, 2^2870000064 is an apocalyptic number.

2870000064 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 2870000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117627020).

2870000064 is an abundant number, since it is smaller than the sum of its proper divisors (5365253976).

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

2870000064 is a wasteful number, since it uses less digits than its factorization.

2870000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5418 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2870000064 is about 53572.3815412382. The cubic root of 2870000064 is about 1421.1087128970.

The spelling of 2870000064 in words is "two billion, eight hundred seventy million, sixty-four", and thus it is an aban number.