2111676480 has 280 divisors, whose sum is σ = 7564620888. Its totient is φ = 559153152.

The previous prime is 2111676461. The next prime is 2111676487. The reversal of 2111676480 is 846761112.

It is a happy number.

2111676480 is a `hidden beast` number, since 2 + 1 + 1 + 1 + 6 + 7 + 648 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 288728064 + 1822948416 = 16992^2 + 42696^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2111676487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6661282 + ... + 6661598.

Almost surely, 2^2111676480 is an apocalyptic number.

2111676480 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 2111676480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3782310444).

2111676480 is an abundant number, since it is smaller than the sum of its proper divisors (5452944408).

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

2111676480 is a wasteful number, since it uses less digits than its factorization.

2111676480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 584 counting only the distinct ones).

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

The square root of 2111676480 is about 45952.9811872962. The cubic root of 2111676480 is about 1282.9482171943.

The spelling of 2111676480 in words is "two billion, one hundred eleven million, six hundred seventy-six thousand, four hundred eighty".