2087688960 has 216 divisors, whose sum is σ = 8255388960. Its totient is φ = 477167616.

The previous prime is 2087688959. The next prime is 2087688971. The reversal of 2087688960 is 698867802.

It is a junction number, because it is equal to n+sod(n) for n = 2087688897 and 2087688906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67696 + ... + 93584.

Almost surely, 2^2087688960 is an apocalyptic number.

2087688960 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 2087688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127694480).

2087688960 is an abundant number, since it is smaller than the sum of its proper divisors (6167700000).

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

2087688960 is a wasteful number, since it uses less digits than its factorization.

2087688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25923 (or 25906 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 2087688960 is about 45691.2350456846. The cubic root of 2087688960 is about 1278.0718364992.

The spelling of 2087688960 in words is "two billion, eighty-seven million, six hundred eighty-eight thousand, nine hundred sixty".