2057021627584 has 168 divisors, whose sum is σ = 5198460834960. Its totient is φ = 798581145600.

The previous prime is 2057021627581. The next prime is 2057021627603. The reversal of 2057021627584 is 4857261207502.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (2057021627581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9587272 + ... + 9799480.

Almost surely, 2^{2057021627584} 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 2057021627584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2599230417480).

2057021627584 is an abundant number, since it is smaller than the sum of its proper divisors (3141439207376).

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

2057021627584 is a wasteful number, since it uses less digits than its factorization.

2057021627584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212527 (or 212510 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 2057021627584 in words is "two trillion, fifty-seven billion, twenty-one million, six hundred twenty-seven thousand, five hundred eighty-four".