2509842795096 has 256 divisors, whose sum is σ = 7832876083200. Its totient is φ = 652494237696.

The previous prime is 2509842795049. The next prime is 2509842795107. The reversal of 2509842795096 is 6905972489052.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 375777885 + ... + 375784563.

It is an arithmetic number, because the mean of its divisors is an integer number (30597172200).

Almost surely, 2^{2509842795096} is an apocalyptic number.

2509842795096 is a gapful number since it is divisible by the number (26) 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 2509842795096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916438041600).

2509842795096 is an abundant number, since it is smaller than the sum of its proper divisors (5323033288104).

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

2509842795096 is a wasteful number, since it uses less digits than its factorization.

2509842795096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9138 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 66.

The spelling of 2509842795096 in words is "two trillion, five hundred nine billion, eight hundred forty-two million, seven hundred ninety-five thousand, ninety-six".