2509358494944 has 432 divisors, whose sum is σ = 8383657708944. Its totient is φ = 652998205440.

The previous prime is 2509358494901. The next prime is 2509358494949. The reversal of 2509358494944 is 4494948539052.

It is a super-2 number, since 2×2509358494944² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2509358494949) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 76832922 + ... + 76865574.

It is an arithmetic number, because the mean of its divisors is an integer number (19406615067).

Almost surely, 2^{2509358494944} is an apocalyptic number.

2509358494944 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509358494944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4191828854472).

2509358494944 is an abundant number, since it is smaller than the sum of its proper divisors (5874299214000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2509358494944 is a wasteful number, since it uses less digits than its factorization.

2509358494944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32759 (or 32713 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 66.

The spelling of 2509358494944 in words is "two trillion, five hundred nine billion, three hundred fifty-eight million, four hundred ninety-four thousand, nine hundred forty-four".