2480260608 has 480 divisors, whose sum is σ = 8980139520. Its totient is φ = 661893120.

The previous prime is 2480260561. The next prime is 2480260613. The reversal of 2480260608 is 8060620842.

2480260608 is a `hidden beast` number, since 2 + 48 + 0 + 2 + 6 + 0 + 608 = 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 47 ways as a sum of consecutive naturals, for example, 34933213 + ... + 34933283.

It is an arithmetic number, because the mean of its divisors is an integer number (18708624).

Almost surely, 2^2480260608 is an apocalyptic number.

2480260608 is a gapful number since it is divisible by the number (28) 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 2480260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4490069760).

2480260608 is an abundant number, since it is smaller than the sum of its proper divisors (6499878912).

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

2480260608 is an equidigital number, since it uses as much as digits as its factorization.

2480260608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2480260608 is about 49802.2148905046. The cubic root of 2480260608 is about 1353.6273018989.

The spelling of 2480260608 in words is "two billion, four hundred eighty million, two hundred sixty thousand, six hundred eight".