2087458560 has 864 divisors, whose sum is σ = 9036115200. Its totient is φ = 451215360.

The previous prime is 2087458547. The next prime is 2087458573. The reversal of 2087458560 is 658547802.

2087458560 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 4 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2087458547) and next prime (2087458573).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 109866231 + ... + 109866249.

Almost surely, 2^2087458560 is an apocalyptic number.

2087458560 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 2087458560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4518057600).

2087458560 is an abundant number, since it is smaller than the sum of its proper divisors (6948656640).

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

2087458560 is a wasteful number, since it uses less digits than its factorization.

2087458560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2087458560 is about 45688.7137048090. The cubic root of 2087458560 is about 1278.0248182268.

The spelling of 2087458560 in words is "two billion, eighty-seven million, four hundred fifty-eight thousand, five hundred sixty".