2095987680 has 288 divisors, whose sum is σ = 7354174464. Its totient is φ = 543449088.

The previous prime is 2095987651. The next prime is 2095987693. The reversal of 2095987680 is 867895902.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13350162 + ... + 13350318.

It is an arithmetic number, because the mean of its divisors is an integer number (25535328).

Almost surely, 2^2095987680 is an apocalyptic number.

2095987680 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 2095987680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677087232).

2095987680 is an abundant number, since it is smaller than the sum of its proper divisors (5258186784).

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

2095987680 is a wasteful number, since it uses less digits than its factorization.

2095987680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2095987680 is about 45781.9580184159. The cubic root of 2095987680 is about 1279.7630746379.

The spelling of 2095987680 in words is "two billion, ninety-five million, nine hundred eighty-seven thousand, six hundred eighty".