2252463674041 has 45 divisors (see below), whose sum is σ = 2661518079213. Its totient is φ = 1906162735680.

The previous prime is 2252463673973. The next prime is 2252463674093. The reversal of 2252463674041 is 1404763642522.

The square root of 2252463674041 is 1500821.

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 313184617641 + 1939279056400 = 559629^2 + 1392580^2 .

It is not a de Polignac number, because 2252463674041 - 2¹⁵ = 2252463641273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2252463673982 and 2252463674000.

It is not an unprimeable number, because it can be changed into a prime (2252463674141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8015884821 + ... + 8015885101.

Almost surely, 2^{2252463674041} is an apocalyptic number.

2252463674041 is the 1500821-st square number.

2252463674041 is the 750411-st centered octagonal number.

It is an amenable number.

2252463674041 is a deficient number, since it is larger than the sum of its proper divisors (409054405172).

2252463674041 is an frugal number, since it uses more digits than its factorization.

2252463674041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 2252463674041 in words is "two trillion, two hundred fifty-two billion, four hundred sixty-three million, six hundred seventy-four thousand, forty-one".