2628277424448 has 112 divisors (see below), whose sum is σ = 7500778674816. Its totient is φ = 807418644480.

The previous prime is 2628277424441. The next prime is 2628277424489. The reversal of 2628277424448 is 8444247728262.

It is a junction number, because it is equal to n+sod(n) for n = 2628277424391 and 2628277424400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628277424441) 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, 740590 + ... + 2409362.

It is an arithmetic number, because the mean of its divisors is an integer number (66971238168).

Almost surely, 2^{2628277424448} 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 2628277424448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3750389337408).

2628277424448 is an abundant number, since it is smaller than the sum of its proper divisors (4872501250368).

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

2628277424448 is a wasteful number, since it uses less digits than its factorization.

2628277424448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669432 (or 1669422 counting only the distinct ones).

The product of its digits is 77070336, while the sum is 60.

The spelling of 2628277424448 in words is "two trillion, six hundred twenty-eight billion, two hundred seventy-seven million, four hundred twenty-four thousand, four hundred forty-eight".