2509446899712 has 192 divisors, whose sum is σ = 6997852068480. Its totient is φ = 798194073600.

The previous prime is 2509446899711. The next prime is 2509446899741. The reversal of 2509446899712 is 2179986449052.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (2509446899711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59471262 + ... + 59513442.

It is an arithmetic number, because the mean of its divisors is an integer number (36447146190).

Almost surely, 2^{2509446899712} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2509446899712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498926034240).

2509446899712 is an abundant number, since it is smaller than the sum of its proper divisors (4488405168768).

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

2509446899712 is a wasteful number, since it uses less digits than its factorization.

2509446899712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42650 (or 42630 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 2509446899712 in words is "two trillion, five hundred nine billion, four hundred forty-six million, eight hundred ninety-nine thousand, seven hundred twelve".