2057530428800 has 384 divisors, whose sum is σ = 6670464134400. Its totient is φ = 607553740800.

The previous prime is 2057530428761. The next prime is 2057530428817. The reversal of 2057530428800 is 88240357502.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4461854 + ... + 4901346.

It is an arithmetic number, because the mean of its divisors is an integer number (17371000350).

Almost surely, 2^{2057530428800} is an apocalyptic number.

2057530428800 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 2057530428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3335232067200).

2057530428800 is an abundant number, since it is smaller than the sum of its proper divisors (4612933705600).

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

2057530428800 is a wasteful number, since it uses less digits than its factorization.

2057530428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439554 (or 439537 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The spelling of 2057530428800 in words is "two trillion, fifty-seven billion, five hundred thirty million, four hundred twenty-eight thousand, eight hundred".