2448056520 has 960 divisors, whose sum is σ = 11152753920. Its totient is φ = 468052992.

The previous prime is 2448056459. The next prime is 2448056557. The reversal of 2448056520 is 256508442.

It is a happy number.

2448056520 is a `hidden beast` number, since 2 + 4 + 4 + 80 + 56 + 520 = 666.

It is a super-2 number, since 2×2448056520² = 11985961450229020800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 239 ways as a sum of consecutive naturals, for example, 106437229 + ... + 106437251.

It is an arithmetic number, because the mean of its divisors is an integer number (11617452).

Almost surely, 2^2448056520 is an apocalyptic number.

2448056520 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 2448056520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576376960).

2448056520 is an abundant number, since it is smaller than the sum of its proper divisors (8704697400).

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

2448056520 is a wasteful number, since it uses less digits than its factorization.

2448056520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2448056520 is about 49477.8386755121. The cubic root of 2448056520 is about 1347.7431923387.

The spelling of 2448056520 in words is "two billion, four hundred forty-eight million, fifty-six thousand, five hundred twenty".