2581676448 has 144 divisors (see below), whose sum is σ = 7381142496. Its totient is φ = 789734400.

The previous prime is 2581676431. The next prime is 2581676459. The reversal of 2581676448 is 8446761852.

It is a self number, because there is not a number n which added to its sum of digits gives 2581676448.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3682498 + ... + 3683198.

It is an arithmetic number, because the mean of its divisors is an integer number (51257934).

Almost surely, 2^2581676448 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 2581676448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690571248).

2581676448 is an abundant number, since it is smaller than the sum of its proper divisors (4799466048).

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

2581676448 is a wasteful number, since it uses less digits than its factorization.

2581676448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 946 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 51.

The square root of 2581676448 is about 50810.2002357794. The cubic root of 2581676448 is about 1371.8309736326.

The spelling of 2581676448 in words is "two billion, five hundred eighty-one million, six hundred seventy-six thousand, four hundred forty-eight".