2506716261 has 64 divisors (see below), whose sum is σ = 4449392640. Its totient is φ = 1364791680.

The previous prime is 2506716217. The next prime is 2506716269. The reversal of 2506716261 is 1626176052.

It is a happy number.

2506716261 is a `hidden beast` number, since 25 + 0 + 6 + 7 + 1 + 626 + 1 = 666.

2506716261 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2506716261 - 2¹⁷ = 2506585189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2506716269) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329446 + ... + 336968.

It is an arithmetic number, because the mean of its divisors is an integer number (69521760).

Almost surely, 2^2506716261 is an apocalyptic number.

2506716261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2506716261 is a deficient number, since it is larger than the sum of its proper divisors (1942676379).

2506716261 is a wasteful number, since it uses less digits than its factorization.

2506716261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7623 (or 7617 counting only the distinct ones).

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

The square root of 2506716261 is about 50067.1175623283. The cubic root of 2506716261 is about 1358.4231040206.

It can be divided in two parts, 25067 and 16261, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 2506716261 in words is "two billion, five hundred six million, seven hundred sixteen thousand, two hundred sixty-one".