2655846144 has 504 divisors, whose sum is σ = 9651277440. Its totient is φ = 712157184.

The previous prime is 2655846143. The next prime is 2655846157. The reversal of 2655846144 is 4416485562.

It is a happy number.

2655846144 is a `hidden beast` number, since 2 + 6 + 5 + 584 + 61 + 4 + 4 = 666.

2655846144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 2655846144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2655846143) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 24820939 + ... + 24821045.

It is an arithmetic number, because the mean of its divisors is an integer number (19149360).

Almost surely, 2^2655846144 is an apocalyptic number.

2655846144 is a gapful number since it is divisible by the number (24) 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 2655846144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4825638720).

2655846144 is an abundant number, since it is smaller than the sum of its proper divisors (6995431296).

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

2655846144 is an equidigital number, since it uses as much as digits as its factorization.

2655846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 138 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 2655846144 is about 51534.9021925918. The cubic root of 2655846144 is about 1384.8443732046.

The spelling of 2655846144 in words is "two billion, six hundred fifty-five million, eight hundred forty-six thousand, one hundred forty-four".