2462479648 has 192 divisors, whose sum is σ = 5708828160. Its totient is φ = 1037795328.

The previous prime is 2462479603. The next prime is 2462479661. The reversal of 2462479648 is 8469742642.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2462479595 and 2462479604.

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 31 ways as a sum of consecutive naturals, for example, 17974236 + ... + 17974372.

It is an arithmetic number, because the mean of its divisors is an integer number (29733480).

Almost surely, 2^2462479648 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 2462479648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854414080).

2462479648 is an abundant number, since it is smaller than the sum of its proper divisors (3246348512).

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

2462479648 is a wasteful number, since it uses less digits than its factorization.

2462479648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The square root of 2462479648 is about 49623.3780389848. The cubic root of 2462479648 is about 1350.3848281971.

The spelling of 2462479648 in words is "two billion, four hundred sixty-two million, four hundred seventy-nine thousand, six hundred forty-eight".