2087860320 has 768 divisors, whose sum is σ = 9266503680. Its totient is φ = 427327488.

The previous prime is 2087860319. The next prime is 2087860339. The reversal of 2087860320 is 230687802.

It is a happy number.

2087860320 is a `hidden beast` number, since 20 + 8 + 7 + 8 + 603 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18476584 + ... + 18476696.

It is an arithmetic number, because the mean of its divisors is an integer number (12065760).

Almost surely, 2^2087860320 is an apocalyptic number.

2087860320 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 2087860320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4633251840).

2087860320 is an abundant number, since it is smaller than the sum of its proper divisors (7178643360).

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

2087860320 is a wasteful number, since it uses less digits than its factorization.

2087860320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2087860320 is about 45693.1102027428. The cubic root of 2087860320 is about 1278.1068040961.

The spelling of 2087860320 in words is "two billion, eighty-seven million, eight hundred sixty thousand, three hundred twenty".