2538480384 has 360 divisors, whose sum is σ = 8547517440. Its totient is φ = 742348800.

The previous prime is 2538480379. The next prime is 2538480401. The reversal of 2538480384 is 4830848352.

2538480384 is a `hidden beast` number, since 2 + 538 + 4 + 80 + 38 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7070797 + ... + 7071155.

It is an arithmetic number, because the mean of its divisors is an integer number (23743104).

Almost surely, 2^2538480384 is an apocalyptic number.

2538480384 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 2538480384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273758720).

2538480384 is an abundant number, since it is smaller than the sum of its proper divisors (6009037056).

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

2538480384 is a wasteful number, since it uses less digits than its factorization.

2538480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2538480384 is about 50383.3343874738. The cubic root of 2538480384 is about 1364.1368386666.

The spelling of 2538480384 in words is "two billion, five hundred thirty-eight million, four hundred eighty thousand, three hundred eighty-four".