2087130240 has 640 divisors, whose sum is σ = 8501169600. Its totient is φ = 483729408.

The previous prime is 2087130229. The next prime is 2087130263. The reversal of 2087130240 is 420317802.

2087130240 = 2783² + 2784² + ... + 3029².

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×2087130240² = 8712225277444915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 12804399 + ... + 12804561.

Almost surely, 2^2087130240 is an apocalyptic number.

2087130240 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 2087130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250584800).

2087130240 is an abundant number, since it is smaller than the sum of its proper divisors (6414039360).

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

2087130240 is a wasteful number, since it uses less digits than its factorization.

2087130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2087130240 is about 45685.1205536332. The cubic root of 2087130240 is about 1277.9578112106.

The spelling of 2087130240 in words is "two billion, eighty-seven million, one hundred thirty thousand, two hundred forty".