2555464128 has 336 divisors, whose sum is σ = 8547079680. Its totient is φ = 658741248.

The previous prime is 2555464097. The next prime is 2555464139. The reversal of 2555464128 is 8214645552.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2555464128.

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 47 ways as a sum of consecutive naturals, for example, 11159118 + ... + 11159346.

Almost surely, 2^2555464128 is an apocalyptic number.

2555464128 is a gapful number since it is divisible by the number (28) 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 2555464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4273539840).

2555464128 is an abundant number, since it is smaller than the sum of its proper divisors (5991615552).

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

2555464128 is a wasteful number, since it uses less digits than its factorization.

2555464128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 283 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 2555464128 is about 50551.5986690827. The cubic root of 2555464128 is about 1367.1723388594.

The spelling of 2555464128 in words is "two billion, five hundred fifty-five million, four hundred sixty-four thousand, one hundred twenty-eight".