2534171080464 has 135 divisors (see below), whose sum is σ = 7231387556757. Its totient is φ = 828454393728.

The previous prime is 2534171080451. The next prime is 2534171080523. The reversal of 2534171080464 is 4640801714352.

The square root of 2534171080464 is 1591908.

It is a perfect power (a square), and thus also a powerful number.

2534171080464 is a `hidden beast` number, since 2 + 5 + 3 + 41 + 71 + 0 + 80 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1826876624400 + 707294456064 = 1351620^2 + 841008^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1012452237 + ... + 1012454739.

Almost surely, 2^{2534171080464} is an apocalyptic number.

2534171080464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2534171080464 is the 1591908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534171080464

2534171080464 is an abundant number, since it is smaller than the sum of its proper divisors (4697216476293).

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

2534171080464 is an frugal number, since it uses more digits than its factorization.

2534171080464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5126 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 2534171080464 in words is "two trillion, five hundred thirty-four billion, one hundred seventy-one million, eighty thousand, four hundred sixty-four".