2509311441 has 64 divisors (see below), whose sum is σ = 4186570752. Its totient is φ = 1301709312.

The previous prime is 2509311421. The next prime is 2509311451. The reversal of 2509311441 is 1441139052.

It is not a de Polignac number, because 2509311441 - 2¹⁹ = 2508787153 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2509311399 and 2509311408.

It is not an unprimeable number, because it can be changed into a prime (2509311421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6551536 + ... + 6551918.

It is an arithmetic number, because the mean of its divisors is an integer number (65415168).

Almost surely, 2^2509311441 is an apocalyptic number.

2509311441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2509311441 is a deficient number, since it is larger than the sum of its proper divisors (1677259311).

2509311441 is a wasteful number, since it uses less digits than its factorization.

2509311441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2509311441 is about 50093.0278681575. The cubic root of 2509311441 is about 1358.8917299326.

The spelling of 2509311441 in words is "two billion, five hundred nine million, three hundred eleven thousand, four hundred forty-one".