2117049480 has 384 divisors, whose sum is σ = 8738323200. Its totient is φ = 446404608.

The previous prime is 2117049439. The next prime is 2117049509. The reversal of 2117049480 is 849407112.

2117049480 is a `hidden beast` number, since 2 + 1 + 170 + 4 + 9 + 480 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1276812 + ... + 1278468.

It is an arithmetic number, because the mean of its divisors is an integer number (22756050).

Almost surely, 2^2117049480 is an apocalyptic number.

2117049480 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 2117049480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4369161600).

2117049480 is an abundant number, since it is smaller than the sum of its proper divisors (6621273720).

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

2117049480 is a wasteful number, since it uses less digits than its factorization.

2117049480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1687 counting only the distinct ones).

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

The square root of 2117049480 is about 46011.4059772140. The cubic root of 2117049480 is about 1284.0354169635.

The spelling of 2117049480 in words is "two billion, one hundred seventeen million, forty-nine thousand, four hundred eighty".