2546501042176 has 405 divisors, whose sum is σ = 6462272253339. Its totient is φ = 1000053669888.

The previous prime is 2546501042171. The next prime is 2546501042207. The reversal of 2546501042176 is 6712401056452.

The square root of 2546501042176 is 1595776.

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

It can be written as a sum of positive squares in 4 ways, for example, as 226362802176 + 2320138240000 = 475776^2 + 1523200^2 .

It is not an unprimeable number, because it can be changed into a prime (2546501042171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18587598780 + ... + 18587598916.

Almost surely, 2^{2546501042176} is an apocalyptic number.

2546501042176 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2546501042176 is the 1595776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2546501042176

2546501042176 is an abundant number, since it is smaller than the sum of its proper divisors (3915771211163).

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

2546501042176 is an frugal number, since it uses more digits than its factorization.

2546501042176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 43.

The spelling of 2546501042176 in words is "two trillion, five hundred forty-six billion, five hundred one million, forty-two thousand, one hundred seventy-six".