2555857920 has 352 divisors, whose sum is σ = 10196614656. Its totient is φ = 530841600.

The previous prime is 2555857907. The next prime is 2555857937. The reversal of 2555857920 is 297585552.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2555857920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1181640 + ... + 1183800.

Almost surely, 2^2555857920 is an apocalyptic number.

2555857920 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 2555857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5098307328).

2555857920 is an abundant number, since it is smaller than the sum of its proper divisors (7640756736).

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

2555857920 is a wasteful number, since it uses less digits than its factorization.

2555857920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2189 counting only the distinct ones).

The product of its (nonzero) digits is 1260000, while the sum is 48.

The square root of 2555857920 is about 50555.4934700473. The cubic root of 2555857920 is about 1367.2425614426.

The spelling of 2555857920 in words is "two billion, five hundred fifty-five million, eight hundred fifty-seven thousand, nine hundred twenty".