2129085264 has 40 divisors (see below), whose sum is σ = 5582236960. Its totient is φ = 699101568.

The previous prime is 2129085227. The next prime is 2129085281. The reversal of 2129085264 is 4625809212.

It is a super-2 number, since 2×2129085264² = 9066008122763899392, 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 (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327799 + ... + 334230.

It is an arithmetic number, because the mean of its divisors is an integer number (139555924).

Almost surely, 2^2129085264 is an apocalyptic number.

2129085264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2129085264 is an abundant number, since it is smaller than the sum of its proper divisors (3453151696).

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

2129085264 is a wasteful number, since it uses less digits than its factorization.

2129085264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662107 (or 662101 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 2129085264 is about 46142.0119197245. The cubic root of 2129085264 is about 1286.4641396295.

The spelling of 2129085264 in words is "two billion, one hundred twenty-nine million, eighty-five thousand, two hundred sixty-four".