2087245800 has 384 divisors, whose sum is σ = 7512912000. Its totient is φ = 532224000.

The previous prime is 2087245799. The next prime is 2087245861. The reversal of 2087245800 is 85427802.

It is a happy number.

2087245800 is a `hidden beast` number, since 2 + 0 + 8 + 72 + 4 + 580 + 0 = 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, 20665750 + ... + 20665850.

It is an arithmetic number, because the mean of its divisors is an integer number (19564875).

Almost surely, 2^2087245800 is an apocalyptic number.

2087245800 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 2087245800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3756456000).

2087245800 is an abundant number, since it is smaller than the sum of its proper divisors (5425666200).

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

2087245800 is a wasteful number, since it uses less digits than its factorization.

2087245800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2087245800 is about 45686.3852805187. The cubic root of 2087245800 is about 1277.9813967183.

The spelling of 2087245800 in words is "two billion, eighty-seven million, two hundred forty-five thousand, eight hundred".