2627349048 has 192 divisors, whose sum is σ = 7896994560. Its totient is φ = 815463936.

The previous prime is 2627349037. The next prime is 2627349103. The reversal of 2627349048 is 8409437262.

2627349048 is a `hidden beast` number, since 262 + 7 + 349 + 0 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2627348994 and 2627349012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3535765 + ... + 3536507.

It is an arithmetic number, because the mean of its divisors is an integer number (41130180).

Almost surely, 2^2627349048 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 2627349048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948497280).

2627349048 is an abundant number, since it is smaller than the sum of its proper divisors (5269645512).

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

2627349048 is a wasteful number, since it uses less digits than its factorization.

2627349048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 872 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2627349048 is about 51257.6730646252. The cubic root of 2627349048 is about 1379.8734477522.

The spelling of 2627349048 in words is "two billion, six hundred twenty-seven million, three hundred forty-nine thousand, forty-eight".