2480368224 has 96 divisors (see below), whose sum is σ = 6999713280. Its totient is φ = 766582272.

The previous prime is 2480368213. The next prime is 2480368273. The reversal of 2480368224 is 4228630842.

2480368224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71262 + ... + 100194.

It is an arithmetic number, because the mean of its divisors is an integer number (72913680).

Almost surely, 2^2480368224 is an apocalyptic number.

2480368224 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 2480368224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499856640).

2480368224 is an abundant number, since it is smaller than the sum of its proper divisors (4519345056).

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

2480368224 is a wasteful number, since it uses less digits than its factorization.

2480368224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29012 (or 29004 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 2480368224 is about 49803.2953126598. The cubic root of 2480368224 is about 1353.6468791224.

The spelling of 2480368224 in words is "two billion, four hundred eighty million, three hundred sixty-eight thousand, two hundred twenty-four".