2509981319 has 4 divisors (see below), whose sum is σ = 2510102544. Its totient is φ = 2509860096.

The previous prime is 2509981307. The next prime is 2509981361. The reversal of 2509981319 is 9131899052.

2509981319 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 2509981319 - 2¹⁶ = 2509915783 is a prime.

It is a super-2 number, since 2×2509981319² = 12600012443457959522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509981219) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20867 + ... + 73860.

It is an arithmetic number, because the mean of its divisors is an integer number (627525636).

Almost surely, 2^2509981319 is an apocalyptic number.

2509981319 is a deficient number, since it is larger than the sum of its proper divisors (121225).

2509981319 is an equidigital number, since it uses as much as digits as its factorization.

2509981319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121224.

The product of its (nonzero) digits is 174960, while the sum is 47.

The square root of 2509981319 is about 50099.7137616574. The cubic root of 2509981319 is about 1359.0126410145.

The spelling of 2509981319 in words is "two billion, five hundred nine million, nine hundred eighty-one thousand, three hundred nineteen".