2478453120 has 1024 divisors, whose sum is σ = 11104128000. Its totient is φ = 513146880.

The previous prime is 2478453073. The next prime is 2478453121. The reversal of 2478453120 is 213548742.

It is a happy number.

2478453120 is a `hidden beast` number, since 2 + 47 + 84 + 531 + 2 + 0 = 666.

It is a super-3 number, since 3×2478453120³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478453121) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 42007651 + ... + 42007709.

It is an arithmetic number, because the mean of its divisors is an integer number (10843875).

Almost surely, 2^2478453120 is an apocalyptic number.

2478453120 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 2478453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5552064000).

2478453120 is an abundant number, since it is smaller than the sum of its proper divisors (8625674880).

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

2478453120 is a wasteful number, since it uses less digits than its factorization.

2478453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2478453120 is about 49784.0649204140. The cubic root of 2478453120 is about 1353.2984037080.

The spelling of 2478453120 in words is "two billion, four hundred seventy-eight million, four hundred fifty-three thousand, one hundred twenty".