2017482480 has 480 divisors, whose sum is σ = 7994488320. Its totient is φ = 451215360.

The previous prime is 2017482457. The next prime is 2017482541. The reversal of 2017482480 is 842847102.

2017482480 is a `hidden beast` number, since 2 + 0 + 174 + 8 + 2 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4932516 + ... + 4932924.

It is an arithmetic number, because the mean of its divisors is an integer number (16655184).

Almost surely, 2^2017482480 is an apocalyptic number.

2017482480 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 2017482480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3997244160).

2017482480 is an abundant number, since it is smaller than the sum of its proper divisors (5977005840).

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

2017482480 is a wasteful number, since it uses less digits than its factorization.

2017482480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2017482480 is about 44916.3943343630. The cubic root of 2017482480 is about 1263.5814956705.

The spelling of 2017482480 in words is "two billion, seventeen million, four hundred eighty-two thousand, four hundred eighty".