2006484480 has 1280 divisors, whose sum is σ = 9899366400. Its totient is φ = 371589120.

The previous prime is 2006484461. The next prime is 2006484499. The reversal of 2006484480 is 844846002.

2006484480 is a `hidden beast` number, since 2 + 0 + 0 + 648 + 4 + 4 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2006484461) and next prime (2006484499).

It is a tau number, because it is divible by the number of its divisors (1280).

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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69189106 + ... + 69189134.

It is an arithmetic number, because the mean of its divisors is an integer number (7733880).

Almost surely, 2^2006484480 is an apocalyptic number.

2006484480 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 2006484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4949683200).

2006484480 is an abundant number, since it is smaller than the sum of its proper divisors (7892881920).

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

2006484480 is a wasteful number, since it uses less digits than its factorization.

2006484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 2006484480 is about 44793.7995709228. The cubic root of 2006484480 is about 1261.2812364102.

The spelling of 2006484480 in words is "two billion, six million, four hundred eighty-four thousand, four hundred eighty".