2534613984 has 576 divisors, whose sum is σ = 9514713600. Its totient is φ = 651442176.

The previous prime is 2534613941. The next prime is 2534614021. The reversal of 2534613984 is 4893164352.

2534613984 is a `hidden beast` number, since 2 + 534 + 6 + 1 + 39 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18500764 + ... + 18500900.

It is an arithmetic number, because the mean of its divisors is an integer number (16518600).

Almost surely, 2^2534613984 is an apocalyptic number.

2534613984 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 2534613984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757356800).

2534613984 is an abundant number, since it is smaller than the sum of its proper divisors (6980099616).

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

2534613984 is a wasteful number, since it uses less digits than its factorization.

2534613984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 191 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2534613984 is about 50344.9499354205. The cubic root of 2534613984 is about 1363.4439072099.

The spelling of 2534613984 in words is "two billion, five hundred thirty-four million, six hundred thirteen thousand, nine hundred eighty-four".