2534516352 has 256 divisors, whose sum is σ = 7923686400. Its totient is φ = 796262400.

The previous prime is 2534516351. The next prime is 2534516357. The reversal of 2534516352 is 2536154352.

2534516352 is a `hidden beast` number, since 253 + 4 + 51 + 6 + 352 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2534516351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4392288 + ... + 4392864.

It is an arithmetic number, because the mean of its divisors is an integer number (30951900).

Almost surely, 2^2534516352 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 2534516352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961843200).

2534516352 is an abundant number, since it is smaller than the sum of its proper divisors (5389170048).

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

2534516352 is a wasteful number, since it uses less digits than its factorization.

2534516352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 654 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 2534516352 is about 50343.9802955626. The cubic root of 2534516352 is about 1363.4264006040.

The spelling of 2534516352 in words is "two billion, five hundred thirty-four million, five hundred sixteen thousand, three hundred fifty-two".