2248751241 has 45 divisors (see below), whose sum is σ = 3700118653. Its totient is φ = 1360034280.

The previous prime is 2248751123. The next prime is 2248751243. The reversal of 2248751241 is 1421578422.

The square root of 2248751241 is 47421.

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

2248751241 is a `hidden beast` number, since 2 + 24 + 87 + 512 + 41 = 666.

It is not a de Polignac number, because 2248751241 - 2¹⁷ = 2248620169 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2248751196 and 2248751205.

It is not an unprimeable number, because it can be changed into a prime (2248751243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4694440 + ... + 4694918.

Almost surely, 2^2248751241 is an apocalyptic number.

2248751241 is the 47421-st square number.

2248751241 is the 23711-st centered octagonal number.

It is an amenable number.

2248751241 is a deficient number, since it is larger than the sum of its proper divisors (1451367412).

2248751241 is an frugal number, since it uses more digits than its factorization.

2248751241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 493 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

The cubic root of 2248751241 is about 1310.1282319164.

Multiplying 2248751241 by its sum of digits (36), we get a square (80955044676 = 284526²).

The spelling of 2248751241 in words is "two billion, two hundred forty-eight million, seven hundred fifty-one thousand, two hundred forty-one".