2574728323216 has 135 divisors (see below), whose sum is σ = 6166252175097. Its totient is φ = 1038237795840.

The previous prime is 2574728323213. The next prime is 2574728323229. The reversal of 2574728323216 is 6123238274752.

The square root of 2574728323216 is 1604596.

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

It can be written as a sum of positive squares in only one way, i.e., 2004546272400 + 570182050816 = 1415820^2 + 755104^2 .

It is not an unprimeable number, because it can be changed into a prime (2574728323213) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 763786011 + ... + 763789381.

Almost surely, 2^{2574728323216} is an apocalyptic number.

2574728323216 is the 1604596-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2574728323216

2574728323216 is an abundant number, since it is smaller than the sum of its proper divisors (3591523851881).

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

2574728323216 is an frugal number, since it uses more digits than its factorization.

2574728323216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6798 (or 3397 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 52.

The spelling of 2574728323216 in words is "two trillion, five hundred seventy-four billion, seven hundred twenty-eight million, three hundred twenty-three thousand, two hundred sixteen".