2011668480 has 448 divisors, whose sum is σ = 7643652480. Its totient is φ = 500170752.

The previous prime is 2011668467. The next prime is 2011668487. The reversal of 2011668480 is 848661102.

2011668480 is a `hidden beast` number, since 2 + 0 + 116 + 68 + 480 = 666.

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 (2011668487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18800587 + ... + 18800693.

Almost surely, 2^2011668480 is an apocalyptic number.

2011668480 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 2011668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821826240).

2011668480 is an abundant number, since it is smaller than the sum of its proper divisors (5631984000).

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

2011668480 is a wasteful number, since it uses less digits than its factorization.

2011668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2011668480 is about 44851.6273952239. The cubic root of 2011668480 is about 1262.3665274706.

The spelling of 2011668480 in words is "two billion, eleven million, six hundred sixty-eight thousand, four hundred eighty".