2480477184 has 132 divisors (see below), whose sum is σ = 7410099060. Its totient is φ = 798228480.

The previous prime is 2480477179. The next prime is 2480477261. The reversal of 2480477184 is 4817740842.

2480477184 is a `hidden beast` number, since 24 + 80 + 477 + 1 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1808630784 + 671846400 = 42528^2 + 25920^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 262624 + ... + 271904.

Almost surely, 2^2480477184 is an apocalyptic number.

2480477184 is a gapful number since it is divisible by the number (24) 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 2480477184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705049530).

2480477184 is an abundant number, since it is smaller than the sum of its proper divisors (4929621876).

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

2480477184 is a wasteful number, since it uses less digits than its factorization.

2480477184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9336 (or 9315 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 2480477184 is about 49804.3892041655. The cubic root of 2480477184 is about 1353.6667002660. Note that the first 3 decimals are identical.

The spelling of 2480477184 in words is "two billion, four hundred eighty million, four hundred seventy-seven thousand, one hundred eighty-four".