2538514320 has 80 divisors (see below), whose sum is σ = 7892203200. Its totient is φ = 674975232.

The previous prime is 2538514309. The next prime is 2538514351. The reversal of 2538514320 is 234158352.

2538514320 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 (80).

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, 68607 + ... + 98913.

It is an arithmetic number, because the mean of its divisors is an integer number (98652540).

Almost surely, 2^2538514320 is an apocalyptic number.

2538514320 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 2538514320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3946101600).

2538514320 is an abundant number, since it is smaller than the sum of its proper divisors (5353688880).

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

2538514320 is a wasteful number, since it uses less digits than its factorization.

2538514320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30672 (or 30666 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 2538514320 is about 50383.6711643763. The cubic root of 2538514320 is about 1364.1429175188.

The spelling of 2538514320 in words is "two billion, five hundred thirty-eight million, five hundred fourteen thousand, three hundred twenty".