2057348184320 has 576 divisors, whose sum is σ = 5946175872000. Its totient is φ = 672151633920.

The previous prime is 2057348184299. The next prime is 2057348184323. The reversal of 2057348184320 is 234818437502.

It is not an unprimeable number, because it can be changed into a prime (2057348184323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1055590706 + ... + 1055592654.

It is an arithmetic number, because the mean of its divisors is an integer number (10323222000).

Almost surely, 2^{2057348184320} is an apocalyptic number.

2057348184320 is a gapful number since it is divisible by the number (20) 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 2057348184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973087936000).

2057348184320 is an abundant number, since it is smaller than the sum of its proper divisors (3888827687680).

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

2057348184320 is a wasteful number, since it uses less digits than its factorization.

2057348184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 2057348184320 in words is "two trillion, fifty-seven billion, three hundred forty-eight million, one hundred eighty-four thousand, three hundred twenty".