2580734219648 has 128 divisors (see below), whose sum is σ = 5698371168000. Its totient is φ = 1156483325952.

The previous prime is 2580734219633. The next prime is 2580734219671. The reversal of 2580734219648 is 8469124370852.

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

It is a super-2 number, since 2×2580734219648² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29447318 + ... + 29534826.

It is an arithmetic number, because the mean of its divisors is an integer number (44518524750).

It is a 1-persistent number, because it is pandigital, but 2⋅2580734219648 = 5161468439296 is not.

Almost surely, 2^{2580734219648} 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 2580734219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849185584000).

2580734219648 is an abundant number, since it is smaller than the sum of its proper divisors (3117636948352).

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

2580734219648 is a wasteful number, since it uses less digits than its factorization.

2580734219648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88052 (or 88040 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 59.

The spelling of 2580734219648 in words is "two trillion, five hundred eighty billion, seven hundred thirty-four million, two hundred nineteen thousand, six hundred forty-eight".