2557072672 has 72 divisors (see below), whose sum is σ = 6324067008. Its totient is φ = 996251520.

The previous prime is 2557072669. The next prime is 2557072673. The reversal of 2557072672 is 2762707552.

It is not an unprimeable number, because it can be changed into a prime (2557072673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20068 + ... + 74275.

It is an arithmetic number, because the mean of its divisors is an integer number (87834264).

Almost surely, 2^2557072672 is an apocalyptic number.

2557072672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2557072672 is an abundant number, since it is smaller than the sum of its proper divisors (3766994336).

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

2557072672 is a wasteful number, since it uses less digits than its factorization.

2557072672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94382 (or 94363 counting only the distinct ones).

The product of its (nonzero) digits is 411600, while the sum is 43.

The square root of 2557072672 is about 50567.5060883963. The cubic root of 2557072672 is about 1367.4591355027.

The spelling of 2557072672 in words is "two billion, five hundred fifty-seven million, seventy-two thousand, six hundred seventy-two".