2087311680 has 336 divisors, whose sum is σ = 7888345920. Its totient is φ = 523542528.

The previous prime is 2087311637. The next prime is 2087311691. The reversal of 2087311680 is 861137802.

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 47 ways as a sum of consecutive naturals, for example, 1321131 + ... + 1322709.

It is an arithmetic number, because the mean of its divisors is an integer number (23477220).

Almost surely, 2^2087311680 is an apocalyptic number.

2087311680 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 2087311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944172960).

2087311680 is an abundant number, since it is smaller than the sum of its proper divisors (5801034240).

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

2087311680 is a wasteful number, since it uses less digits than its factorization.

2087311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2087311680 is about 45687.1062773733. The cubic root of 2087311680 is about 1277.9948422724.

The spelling of 2087311680 in words is "two billion, eighty-seven million, three hundred eleven thousand, six hundred eighty".