2484315504 has 120 divisors (see below), whose sum is σ = 7658831232. Its totient is φ = 745464960.

The previous prime is 2484315409. The next prime is 2484315551. The reversal of 2484315504 is 4055134842.

It is a happy number.

2484315504 is a `hidden beast` number, since 24 + 84 + 3 + 1 + 550 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 155539 + ... + 170765.

Almost surely, 2^2484315504 is an apocalyptic number.

2484315504 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 2484315504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829415616).

2484315504 is an abundant number, since it is smaller than the sum of its proper divisors (5174515728).

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

2484315504 is a wasteful number, since it uses less digits than its factorization.

2484315504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15355 (or 15346 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2484315504 is about 49842.9082618581. The cubic root of 2484315504 is about 1354.3645670967.

The spelling of 2484315504 in words is "two billion, four hundred eighty-four million, three hundred fifteen thousand, five hundred four".