2478973248 has 224 divisors, whose sum is σ = 7498080000. Its totient is φ = 812934144.

The previous prime is 2478973241. The next prime is 2478973261. The reversal of 2478973248 is 8423798742.

It is a happy number.

It is a super-2 number, since 2×2478973248² = 12290616728599339008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2478973194 and 2478973203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2478973241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12457053 + ... + 12457251.

Almost surely, 2^2478973248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478973248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749040000).

2478973248 is an abundant number, since it is smaller than the sum of its proper divisors (5019106752).

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

2478973248 is an frugal number, since it uses more digits than its factorization.

2478973248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 2478973248 is about 49789.2884865811. The cubic root of 2478973248 is about 1353.3930647896.

The spelling of 2478973248 in words is "two billion, four hundred seventy-eight million, nine hundred seventy-three thousand, two hundred forty-eight".