2087164288 has 128 divisors (see below), whose sum is σ = 4856832000. Its totient is φ = 883353600.

The previous prime is 2087164283. The next prime is 2087164291. The reversal of 2087164288 is 8824617802.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087164283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1631233 + ... + 1632511.

It is an arithmetic number, because the mean of its divisors is an integer number (37944000).

Almost surely, 2^2087164288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087164288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2428416000).

2087164288 is an abundant number, since it is smaller than the sum of its proper divisors (2769667712).

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

2087164288 is a wasteful number, since it uses less digits than its factorization.

2087164288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The square root of 2087164288 is about 45685.4931898519. The cubic root of 2087164288 is about 1277.9647604129.

It can be divided in two parts, 2087 and 164288, that added together give a cube (166375 = 55³).

The spelling of 2087164288 in words is "two billion, eighty-seven million, one hundred sixty-four thousand, two hundred eighty-eight".