2087205120 has 864 divisors, whose sum is σ = 9749585664. Its totient is φ = 398131200.

The previous prime is 2087205103. The next prime is 2087205143. The reversal of 2087205120 is 215027802.

It is a congruent number.

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, 11531430 + ... + 11531610.

Almost surely, 2^2087205120 is an apocalyptic number.

2087205120 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 2087205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874792832).

2087205120 is an abundant number, since it is smaller than the sum of its proper divisors (7662380544).

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

2087205120 is a wasteful number, since it uses less digits than its factorization.

2087205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2087205120 is about 45685.9400691285. The cubic root of 2087205120 is about 1277.9730941311.

The spelling of 2087205120 in words is "two billion, eighty-seven million, two hundred five thousand, one hundred twenty".