2557277072 has 120 divisors (see below), whose sum is σ = 6013242360. Its totient is φ = 1049180160.

The previous prime is 2557277059. The next prime is 2557277087. The reversal of 2557277072 is 2707727552.

It can be written as a sum of positive squares in 4 ways, for example, as 270142096 + 2287134976 = 16436^2 + 47824^2 .

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, 3114422 + ... + 3115242.

It is an arithmetic number, because the mean of its divisors is an integer number (50110353).

Almost surely, 2^2557277072 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 2557277072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006621180).

2557277072 is an abundant number, since it is smaller than the sum of its proper divisors (3455965288).

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

2557277072 is a wasteful number, since it uses less digits than its factorization.

2557277072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 996 counting only the distinct ones).

The product of its (nonzero) digits is 480200, while the sum is 44.

The square root of 2557277072 is about 50569.5271087243. The cubic root of 2557277072 is about 1367.4955705512.

The spelling of 2557277072 in words is "two billion, five hundred fifty-seven million, two hundred seventy-seven thousand, seventy-two".