2057312544 has 96 divisors (see below), whose sum is σ = 6182467200. Its totient is φ = 586801152.

The previous prime is 2057312539. The next prime is 2057312561. The reversal of 2057312544 is 4452137502.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449982 + ... + 454530.

It is an arithmetic number, because the mean of its divisors is an integer number (64400700).

Almost surely, 2^2057312544 is an apocalyptic number.

2057312544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091233600).

2057312544 is an abundant number, since it is smaller than the sum of its proper divisors (4125154656).

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

2057312544 is a wasteful number, since it uses less digits than its factorization.

2057312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5242 (or 5234 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 2057312544 is about 45357.6073443033. The cubic root of 2057312544 is about 1271.8427676386.

The spelling of 2057312544 in words is "two billion, fifty-seven million, three hundred twelve thousand, five hundred forty-four".