2744572055625 has 225 divisors, whose sum is σ = 5292056661507. Its totient is φ = 1417053528000.

The previous prime is 2744572055623. The next prime is 2744572055633. The reversal of 2744572055625 is 5265502754472.

The square root of 2744572055625 is 1656675.

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

2744572055625 is a `hidden beast` number, since 2 + 7 + 4 + 4 + 5 + 7 + 2 + 0 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 911266887609 + 1833305168016 = 954603^2 + 1353996^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is not a de Polignac number, because 2744572055625 - 2¹ = 2744572055623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2744572055623) by changing a digit.

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 224 ways as a sum of consecutive naturals, for example, 13791819276 + ... + 13791819474.

Almost surely, 2^{2744572055625} is an apocalyptic number.

2744572055625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2744572055625 is the 1656675-th square number.

2744572055625 is the 828338-th centered octagonal number.

It is an amenable number.

2744572055625 is a deficient number, since it is larger than the sum of its proper divisors (2547484605882).

2744572055625 is an frugal number, since it uses more digits than its factorization.

2744572055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 54.

The spelling of 2744572055625 in words is "two trillion, seven hundred forty-four billion, five hundred seventy-two million, fifty-five thousand, six hundred twenty-five".