2110207680 has 896 divisors, whose sum is σ = 9340047360. Its totient is φ = 437944320.

The previous prime is 2110207633. The next prime is 2110207681. The reversal of 2110207680 is 867020112.

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

It is not an unprimeable number, because it can be changed into a prime (2110207681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51468460 + ... + 51468500.

It is an arithmetic number, because the mean of its divisors is an integer number (10424160).

Almost surely, 2^2110207680 is an apocalyptic number.

2110207680 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 2110207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4670023680).

2110207680 is an abundant number, since it is smaller than the sum of its proper divisors (7229839680).

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

2110207680 is a wasteful number, since it uses less digits than its factorization.

2110207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 2110207680 is about 45936.9968543874. The cubic root of 2110207680 is about 1282.6506919133.

Adding to 2110207680 its reverse (867020112), we get a palindrome (2977227792).

The spelling of 2110207680 in words is "two billion, one hundred ten million, two hundred seven thousand, six hundred eighty".