2509752861 has 24 divisors (see below), whose sum is σ = 4519729344. Its totient is φ = 1303767360.

The previous prime is 2509752841. The next prime is 2509752907. The reversal of 2509752861 is 1682579052.

It is not a de Polignac number, because 2509752861 - 2⁷ = 2509752733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509752841) 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 23 ways as a sum of consecutive naturals, for example, 1810096 + ... + 1811481.

It is an arithmetic number, because the mean of its divisors is an integer number (188322056).

Almost surely, 2^2509752861 is an apocalyptic number.

2509752861 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2509752861 is a deficient number, since it is larger than the sum of its proper divisors (2009976483).

2509752861 is a wasteful number, since it uses less digits than its factorization.

2509752861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3621601 (or 3621598 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 2509752861 is about 50097.4336767863. The cubic root of 2509752861 is about 1358.9714074101.

The spelling of 2509752861 in words is "two billion, five hundred nine million, seven hundred fifty-two thousand, eight hundred sixty-one".