2505724671 has 16 divisors (see below), whose sum is σ = 3459778560. Its totient is φ = 1611197280.

The previous prime is 2505724667. The next prime is 2505724691. The reversal of 2505724671 is 1764275052.

It is not a de Polignac number, because 2505724671 - 2² = 2505724667 is a prime.

It is a super-2 number, since 2×2505724671² = 12557312253716116482, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505724691) 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 15 ways as a sum of consecutive naturals, for example, 71686 + ... + 100748.

It is an arithmetic number, because the mean of its divisors is an integer number (216236160).

Almost surely, 2^2505724671 is an apocalyptic number.

2505724671 is a deficient number, since it is larger than the sum of its proper divisors (954053889).

2505724671 is a wasteful number, since it uses less digits than its factorization.

2505724671 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30086.

The product of its (nonzero) digits is 117600, while the sum is 39.

The square root of 2505724671 is about 50057.2139756099. The cubic root of 2505724671 is about 1358.2439617648.

The spelling of 2505724671 in words is "two billion, five hundred five million, seven hundred twenty-four thousand, six hundred seventy-one".