2057795456 has 128 divisors (see below), whose sum is σ = 4516560000. Its totient is φ = 930134016.

The previous prime is 2057795429. The next prime is 2057795459. The reversal of 2057795456 is 6545977502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057795459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11495975 + ... + 11496153.

It is an arithmetic number, because the mean of its divisors is an integer number (35285625).

Almost surely, 2^2057795456 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 2057795456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258280000).

2057795456 is an abundant number, since it is smaller than the sum of its proper divisors (2458764544).

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

2057795456 is a wasteful number, since it uses less digits than its factorization.

2057795456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 50.

The square root of 2057795456 is about 45362.9304168062. The cubic root of 2057795456 is about 1271.9422728704.

The spelling of 2057795456 in words is "two billion, fifty-seven million, seven hundred ninety-five thousand, four hundred fifty-six".