2505204767 has 8 divisors (see below), whose sum is σ = 2784942720. Its totient is φ = 2237899680.

The previous prime is 2505204761. The next prime is 2505204773. The reversal of 2505204767 is 7674025052.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2505204761) and next prime (2505204773).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2505204767 - 2¹² = 2505200671 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2505204767.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505204761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3107792 + ... + 3108597.

It is an arithmetic number, because the mean of its divisors is an integer number (348117840).

Almost surely, 2^2505204767 is an apocalyptic number.

2505204767 is a deficient number, since it is larger than the sum of its proper divisors (279737953).

2505204767 is a wasteful number, since it uses less digits than its factorization.

2505204767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216433.

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 2505204767 is about 50052.0206085628. The cubic root of 2505204767 is about 1358.1500161793.

The spelling of 2505204767 in words is "two billion, five hundred five million, two hundred four thousand, seven hundred sixty-seven".