2557941120 has 960 divisors, whose sum is σ = 11396602800. Its totient is φ = 543449088.

The previous prime is 2557941103. The next prime is 2557941149. The reversal of 2557941120 is 211497552.

2557941120 is a `hidden beast` number, since 2 + 557 + 94 + 1 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48263014 + ... + 48263066.

Almost surely, 2^2557941120 is an apocalyptic number.

2557941120 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 2557941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698301400).

2557941120 is an abundant number, since it is smaller than the sum of its proper divisors (8838661680).

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

2557941120 is a wasteful number, since it uses less digits than its factorization.

2557941120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 2557941120 is about 50576.0923757461. The cubic root of 2557941120 is about 1367.6139261411.

The spelling of 2557941120 in words is "two billion, five hundred fifty-seven million, nine hundred forty-one thousand, one hundred twenty".