2087717898240 has 1536 divisors, whose sum is σ = 8285900313600. Its totient is φ = 501645312000.

The previous prime is 2087717898209. The next prime is 2087717898337. The reversal of 2087717898240 is 428987177802.

It is a tau number, because it is divible by the number of its divisors (1536).

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, 20670474190 + ... + 20670474290.

It is an arithmetic number, because the mean of its divisors is an integer number (5394466350).

Almost surely, 2^{2087717898240} is an apocalyptic number.

2087717898240 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 2087717898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4142950156800).

2087717898240 is an abundant number, since it is smaller than the sum of its proper divisors (6198182415360).

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

2087717898240 is an equidigital number, since it uses as much as digits as its factorization.

2087717898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 63.

The spelling of 2087717898240 in words is "two trillion, eighty-seven billion, seven hundred seventeen million, eight hundred ninety-eight thousand, two hundred forty".