2555864640 has 336 divisors, whose sum is σ = 10158325632. Its totient is φ = 577732608.

The previous prime is 2555864621. The next prime is 2555864669. The reversal of 2555864640 is 464685552.

2555864640 is a `hidden beast` number, since 2 + 5 + 5 + 586 + 4 + 64 + 0 = 666.

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 (45).

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 47 ways as a sum of consecutive naturals, for example, 1954867 + ... + 1956173.

It is an arithmetic number, because the mean of its divisors is an integer number (30233112).

Almost surely, 2^2555864640 is an apocalyptic number.

2555864640 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 2555864640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5079162816).

2555864640 is an abundant number, since it is smaller than the sum of its proper divisors (7602460992).

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

2555864640 is a wasteful number, since it uses less digits than its factorization.

2555864640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The square root of 2555864640 is about 50555.5599316237. The cubic root of 2555864640 is about 1367.2437597176.

The spelling of 2555864640 in words is "two billion, five hundred fifty-five million, eight hundred sixty-four thousand, six hundred forty".