2478455760 has 160 divisors (see below), whose sum is σ = 8823006720. Its totient is φ = 569203200.

The previous prime is 2478455729. The next prime is 2478455773. The reversal of 2478455760 is 675548742.

It is a super-2 number, since 2×2478455760² = 12285485908554355200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 25455 + ... + 74865.

It is an arithmetic number, because the mean of its divisors is an integer number (55143792).

Almost surely, 2^2478455760 is an apocalyptic number.

2478455760 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 2478455760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411503360).

2478455760 is an abundant number, since it is smaller than the sum of its proper divisors (6344550960).

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

2478455760 is a wasteful number, since it uses less digits than its factorization.

2478455760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49457 (or 49451 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The square root of 2478455760 is about 49784.0914349152. The cubic root of 2478455760 is about 1353.2988842102.

The spelling of 2478455760 in words is "two billion, four hundred seventy-eight million, four hundred fifty-five thousand, seven hundred sixty".