2479215648 has 96 divisors (see below), whose sum is σ = 8009801856. Its totient is φ = 653856768.

The previous prime is 2479215637. The next prime is 2479215653. The reversal of 2479215648 is 8465129742.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2479215648³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 2479215597 and 2479215606.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 133161 + ... + 150632.

It is an arithmetic number, because the mean of its divisors is an integer number (83435436).

Almost surely, 2^2479215648 is an apocalyptic number.

2479215648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2479215648 is an abundant number, since it is smaller than the sum of its proper divisors (5530586208).

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

2479215648 is a wasteful number, since it uses less digits than its factorization.

2479215648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283826 (or 283818 counting only the distinct ones).

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

The square root of 2479215648 is about 49791.7226856031. The cubic root of 2479215648 is about 1353.4371760343.

The spelling of 2479215648 in words is "two billion, four hundred seventy-nine million, two hundred fifteen thousand, six hundred forty-eight".