2480333312 has 90 divisors (see below), whose sum is σ = 5193984807. Its totient is φ = 1183257600.

The previous prime is 2480333311. The next prime is 2480333341. The reversal of 2480333312 is 2133330842.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1240166656 + 1240166656 = 35216^2 + 35216^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=35216.

It is not an unprimeable number, because it can be changed into a prime (2480333311) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 34934237 + ... + 34934307.

Almost surely, 2^2480333312 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 2480333312

2480333312 is an abundant number, since it is smaller than the sum of its proper divisors (2713651495).

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

2480333312 is an frugal number, since it uses more digits than its factorization.

2480333312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 2480333312 is about 49802.9448125309. The cubic root of 2480333312 is about 1353.6405280840.

Multiplying 2480333312 by its product of nonzero digits (10368), we get a square (25716095778816 = 5071104²).

The spelling of 2480333312 in words is "two billion, four hundred eighty million, three hundred thirty-three thousand, three hundred twelve".