2480108400 has 720 divisors, whose sum is σ = 11225710080. Its totient is φ = 491673600.

The previous prime is 2480108353. The next prime is 2480108413. The reversal of 2480108400 is 48010842.

2480108400 is a `hidden beast` number, since 248 + 0 + 10 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 6375406 + ... + 6375794.

It is an arithmetic number, because the mean of its divisors is an integer number (15591264).

Almost surely, 2^2480108400 is an apocalyptic number.

2480108400 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 2480108400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612855040).

2480108400 is an abundant number, since it is smaller than the sum of its proper divisors (8745601680).

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

2480108400 is a wasteful number, since it uses less digits than its factorization.

2480108400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2480108400 is about 49800.6867422529. The cubic root of 2480108400 is about 1353.5996116475.

The spelling of 2480108400 in words is "two billion, four hundred eighty million, one hundred eight thousand, four hundred".