2057954286960 has 960 divisors, whose sum is σ = 8432196304896. Its totient is φ = 442970726400.

The previous prime is 2057954286907. The next prime is 2057954286961. The reversal of 2057954286960 is 696824597502.

2057954286960 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 9 + 542 + 86 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057954286961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 552172617 + ... + 552176343.

Almost surely, 2^{2057954286960} is an apocalyptic number.

2057954286960 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 2057954286960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216098152448).

2057954286960 is an abundant number, since it is smaller than the sum of its proper divisors (6374242017936).

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

2057954286960 is a wasteful number, since it uses less digits than its factorization.

2057954286960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 2057954286960 in words is "two trillion, fifty-seven billion, nine hundred fifty-four million, two hundred eighty-six thousand, nine hundred sixty".