2087500800 has 528 divisors, whose sum is σ = 8626090752. Its totient is φ = 432537600.

The previous prime is 2087500729. The next prime is 2087500813. The reversal of 2087500800 is 80057802.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5913424 + ... + 5913776.

Almost surely, 2^2087500800 is an apocalyptic number.

2087500800 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 2087500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4313045376).

2087500800 is an abundant number, since it is smaller than the sum of its proper divisors (6538589952).

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

2087500800 is a wasteful number, since it uses less digits than its factorization.

2087500800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 2087500800 is about 45689.1759610523. The cubic root of 2087500800 is about 1278.0334385024.

The spelling of 2087500800 in words is "two billion, eighty-seven million, five hundred thousand, eight hundred".