2595480845952 has 128 divisors (see below), whose sum is σ = 6965619494400. Its totient is φ = 856219765760.

The previous prime is 2595480845941. The next prime is 2595480845953.

2595480845952 is nontrivially palindromic in base 10.

2595480845952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2595480845953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41837677 + ... + 41899667.

It is an arithmetic number, because the mean of its divisors is an integer number (54418902300).

Almost surely, 2^{2595480845952} 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 2595480845952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3482809747200).

2595480845952 is an abundant number, since it is smaller than the sum of its proper divisors (4370138648448).

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

2595480845952 is a wasteful number, since it uses less digits than its factorization.

2595480845952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63134 (or 63122 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 66.

The spelling of 2595480845952 in words is "two trillion, five hundred ninety-five billion, four hundred eighty million, eight hundred forty-five thousand, nine hundred fifty-two".