2480152320 has 432 divisors, whose sum is σ = 9039794400. Its totient is φ = 627179520.

The previous prime is 2480152313. The next prime is 2480152373. The reversal of 2480152320 is 232510842.

2480152320 is a `hidden beast` number, since 2 + 480 + 152 + 32 + 0 = 666.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 27866836 + ... + 27866924.

It is an arithmetic number, because the mean of its divisors is an integer number (20925450).

Almost surely, 2^2480152320 is an apocalyptic number.

2480152320 is a gapful number since it is divisible by the number (20) 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 2480152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4519897200).

2480152320 is an abundant number, since it is smaller than the sum of its proper divisors (6559642080).

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

2480152320 is a wasteful number, since it uses less digits than its factorization.

2480152320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2480152320 is about 49801.1276980753. The cubic root of 2480152320 is about 1353.6076018553.

The spelling of 2480152320 in words is "two billion, four hundred eighty million, one hundred fifty-two thousand, three hundred twenty".