2538813312 has 384 divisors, whose sum is σ = 8771543040. Its totient is φ = 689762304.

The previous prime is 2538813259. The next prime is 2538813317. The reversal of 2538813312 is 2133188352.

It is a happy number.

2538813312 is a `hidden beast` number, since 2 + 538 + 81 + 33 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2538813317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19990593 + ... + 19990719.

It is an arithmetic number, because the mean of its divisors is an integer number (22842560).

Almost surely, 2^2538813312 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 2538813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385771520).

2538813312 is an abundant number, since it is smaller than the sum of its proper divisors (6232729728).

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

2538813312 is a wasteful number, since it uses less digits than its factorization.

2538813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2538813312 is about 50386.6382288003. The cubic root of 2538813312 is about 1364.1964727032.

The spelling of 2538813312 in words is "two billion, five hundred thirty-eight million, eight hundred thirteen thousand, three hundred twelve".