2505380247 has 16 divisors (see below), whose sum is σ = 3728327680. Its totient is φ = 1662759576.

The previous prime is 2505380203. The next prime is 2505380249. The reversal of 2505380247 is 7420835052.

2505380247 is a `hidden beast` number, since 250 + 5 + 380 + 24 + 7 = 666.

It is not a de Polignac number, because 2505380247 - 2⁸ = 2505379991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2505380249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202033 + ... + 214074.

It is an arithmetic number, because the mean of its divisors is an integer number (233020480).

Almost surely, 2^2505380247 is an apocalyptic number.

2505380247 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2505380247 is a deficient number, since it is larger than the sum of its proper divisors (1222947433).

2505380247 is a wasteful number, since it uses less digits than its factorization.

2505380247 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416339 (or 416333 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 2505380247 is about 50053.7735540488. The cubic root of 2505380247 is about 1358.1817265081.

The spelling of 2505380247 in words is "two billion, five hundred five million, three hundred eighty thousand, two hundred forty-seven".