2087008560 has 480 divisors, whose sum is σ = 8803686528. Its totient is φ = 431308800.

The previous prime is 2087008559. The next prime is 2087008591. The reversal of 2087008560 is 658007802.

2087008560 is a `hidden beast` number, since 20 + 8 + 70 + 0 + 8 + 560 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3472260 + ... + 3472860.

Almost surely, 2^2087008560 is an apocalyptic number.

2087008560 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 2087008560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4401843264).

2087008560 is an abundant number, since it is smaller than the sum of its proper divisors (6716677968).

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

2087008560 is a wasteful number, since it uses less digits than its factorization.

2087008560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2087008560 is about 45683.7888095985. The cubic root of 2087008560 is about 1277.9329756852.

The spelling of 2087008560 in words is "two billion, eighty-seven million, eight thousand, five hundred sixty".