2507906241 has 9 divisors (see below), whose sum is σ = 3622748259. Its totient is φ = 1671837336.

The previous prime is 2507906239. The next prime is 2507906257. The reversal of 2507906241 is 1426097052.

The square root of 2507906241 is 50079.

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

2507906241 is a `hidden beast` number, since 2 + 507 + 90 + 62 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 184280625 + 2323625616 = 13575^2 + 48204^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2507906241 - 2¹ = 2507906239 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2507906196 and 2507906205.

It is not an unprimeable number, because it can be changed into a prime (2507906281) 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 8 ways as a sum of consecutive naturals, for example, 141891 + ... + 158583.

Almost surely, 2^2507906241 is an apocalyptic number.

2507906241 is the 50079-th square number.

2507906241 is the 25040-th centered octagonal number.

It is an amenable number.

2507906241 is a deficient number, since it is larger than the sum of its proper divisors (1114842018).

2507906241 is an frugal number, since it uses more digits than its factorization.

2507906241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33392 (or 16696 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The cubic root of 2507906241 is about 1358.6380253801.

Multiplying 2507906241 by its sum of digits (36), we get a square (90284624676 = 300474²).

The spelling of 2507906241 in words is "two billion, five hundred seven million, nine hundred six thousand, two hundred forty-one".