2456124480 has 168 divisors, whose sum is σ = 8466658200. Its totient is φ = 653524992.

The previous prime is 2456124479. The next prime is 2456124499. The reversal of 2456124480 is 844216542.

2456124480 is a `hidden beast` number, since 2 + 4 + 56 + 124 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9437184 + 2446687296 = 3072^2 + 49464^2 .

It is a super-2 number, since 2×2456124480² = 12065094922510540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 2214166 + ... + 2215274.

It is an arithmetic number, because the mean of its divisors is an integer number (50396775).

Almost surely, 2^2456124480 is an apocalyptic number.

2456124480 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 2456124480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4233329100).

2456124480 is an abundant number, since it is smaller than the sum of its proper divisors (6010533720).

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

2456124480 is a wasteful number, since it uses less digits than its factorization.

2456124480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2456124480 is about 49559.3026585322. The cubic root of 2456124480 is about 1349.2221362467. Note that the first 3 decimals are identical.

The spelling of 2456124480 in words is "two billion, four hundred fifty-six million, one hundred twenty-four thousand, four hundred eighty".