2479333248 has 192 divisors, whose sum is σ = 8219502720. Its totient is φ = 702673920.

The previous prime is 2479333247. The next prime is 2479333303. The reversal of 2479333248 is 8423339742.

2479333248 is a `hidden beast` number, since 2 + 4 + 79 + 333 + 248 = 666.

2479333248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2479333248² = 12294186709276459008, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2479333247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055211 + ... + 1057557.

It is an arithmetic number, because the mean of its divisors is an integer number (42809910).

Almost surely, 2^2479333248 is an apocalyptic number.

2479333248 is a gapful number since it is divisible by the number (28) 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 2479333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109751360).

2479333248 is an abundant number, since it is smaller than the sum of its proper divisors (5740169472).

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

2479333248 is a wasteful number, since it uses less digits than its factorization.

2479333248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505 (or 2490 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2479333248 is about 49792.9035907729. The cubic root of 2479333248 is about 1353.4585755033.

The spelling of 2479333248 in words is "two billion, four hundred seventy-nine million, three hundred thirty-three thousand, two hundred forty-eight".