2465179248 has 240 divisors, whose sum is σ = 7893780480. Its totient is φ = 649039872.

The previous prime is 2465179247. The next prime is 2465179253. The reversal of 2465179248 is 8429715642.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 2465179197 and 2465179206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2465179247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5146273 + ... + 5146751.

It is an arithmetic number, because the mean of its divisors is an integer number (32890752).

Almost surely, 2^2465179248 is an apocalyptic number.

2465179248 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 2465179248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946890240).

2465179248 is an abundant number, since it is smaller than the sum of its proper divisors (5428601232).

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

2465179248 is a wasteful number, since it uses less digits than its factorization.

2465179248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 561 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 2465179248 is about 49650.5714770737. The cubic root of 2465179248 is about 1350.8781206008.

The spelling of 2465179248 in words is "two billion, four hundred sixty-five million, one hundred seventy-nine thousand, two hundred forty-eight".