2057478838272 has 1344 divisors, whose sum is σ = 7579558022400. Its totient is φ = 549182177280.

The previous prime is 2057478838237. The next prime is 2057478838273. The reversal of 2057478838272 is 2728388747502.

2057478838272 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 478 + 83 + 82 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057478838273) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4910450479 + ... + 4910450897.

It is an arithmetic number, because the mean of its divisors is an integer number (5639552100).

Almost surely, 2^{2057478838272} is an apocalyptic number.

2057478838272 is a gapful number since it is divisible by the number (22) 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 2057478838272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789779011200).

2057478838272 is an abundant number, since it is smaller than the sum of its proper divisors (5522079184128).

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

2057478838272 is a wasteful number, since it uses less digits than its factorization.

2057478838272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 84295680, while the sum is 63.

The spelling of 2057478838272 in words is "two trillion, fifty-seven billion, four hundred seventy-eight million, eight hundred thirty-eight thousand, two hundred seventy-two".