2509916823 has 12 divisors (see below), whose sum is σ = 3626529088. Its totient is φ = 1672773120.

The previous prime is 2509916809. The next prime is 2509916831. The reversal of 2509916823 is 3286199052.

2509916823 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2509916823 - 2²² = 2505722519 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 (2509916833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9223 + ... + 71448.

Almost surely, 2^2509916823 is an apocalyptic number.

2509916823 is a deficient number, since it is larger than the sum of its proper divisors (1116612265).

2509916823 is a wasteful number, since it uses less digits than its factorization.

2509916823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84134 (or 84131 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2509916823 is about 50099.0700811901. The cubic root of 2509916823 is about 1359.0010006051.

The spelling of 2509916823 in words is "two billion, five hundred nine million, nine hundred sixteen thousand, eight hundred twenty-three".