2482262304 has 96 divisors (see below), whose sum is σ = 6816337920. Its totient is φ = 789457152.

The previous prime is 2482262267. The next prime is 2482262317. The reversal of 2482262304 is 4032622842.

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

It is a super-2 number, since 2×2482262304² = 12323252291718776832, which contains 22 as substring.

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, 1056459 + ... + 1058805.

It is an arithmetic number, because the mean of its divisors is an integer number (71003520).

Almost surely, 2^2482262304 is an apocalyptic number.

2482262304 is a gapful number since it is divisible by the number (24) 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 2482262304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408168960).

2482262304 is an abundant number, since it is smaller than the sum of its proper divisors (4334075616).

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

2482262304 is a wasteful number, since it uses less digits than its factorization.

2482262304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 2482262304 is about 49822.3072930189. The cubic root of 2482262304 is about 1353.9913525903.

The spelling of 2482262304 in words is "two billion, four hundred eighty-two million, two hundred sixty-two thousand, three hundred four".