2538488160 has 720 divisors, whose sum is σ = 10378866960. Its totient is φ = 582266880.

The previous prime is 2538488131. The next prime is 2538488201. The reversal of 2538488160 is 618848352.

2538488160 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 488 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 41614530 + ... + 41614590.

It is an arithmetic number, because the mean of its divisors is an integer number (14415093).

Almost surely, 2^2538488160 is an apocalyptic number.

2538488160 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 2538488160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5189433480).

2538488160 is an abundant number, since it is smaller than the sum of its proper divisors (7840378800).

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

2538488160 is a wasteful number, since it uses less digits than its factorization.

2538488160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2538488160 is about 50383.4115557889. The cubic root of 2538488160 is about 1364.1382315625.

The spelling of 2538488160 in words is "two billion, five hundred thirty-eight million, four hundred eighty-eight thousand, one hundred sixty".