2534944896 has 384 divisors, whose sum is σ = 8554291200. Its totient is φ = 740275200.

The previous prime is 2534944873. The next prime is 2534944921. The reversal of 2534944896 is 6984494352.

2534944896 is a `hidden beast` number, since 25 + 3 + 494 + 48 + 96 = 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10606345 + ... + 10606583.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^2534944896 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 2534944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

2534944896 is an abundant number, since it is smaller than the sum of its proper divisors (6019346304).

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

2534944896 is a wasteful number, since it uses less digits than its factorization.

2534944896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 286 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The square root of 2534944896 is about 50348.2362749680. The cubic root of 2534944896 is about 1363.5032404154.

The spelling of 2534944896 in words is "two billion, five hundred thirty-four million, nine hundred forty-four thousand, eight hundred ninety-six".