2655342144 has 252 divisors, whose sum is σ = 9536050524. Its totient is φ = 700213248.

The previous prime is 2655342113. The next prime is 2655342181. The reversal of 2655342144 is 4412435562.

2655342144 is a `hidden beast` number, since 2 + 65 + 534 + 21 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1029639744 + 1625702400 = 32088^2 + 40320^2 .

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a junction number, because it is equal to n+sod(n) for n = 2655342099 and 2655342108.

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 35 ways as a sum of consecutive naturals, for example, 363294 + ... + 370530.

Almost surely, 2^2655342144 is an apocalyptic number.

2655342144 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 2655342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768025262).

2655342144 is an abundant number, since it is smaller than the sum of its proper divisors (6880708380).

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

2655342144 is a wasteful number, since it uses less digits than its factorization.

2655342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7282 (or 7262 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 2655342144 is about 51530.0120706370. The cubic root of 2655342144 is about 1384.7567670103.

The spelling of 2655342144 in words is "two billion, six hundred fifty-five million, three hundred forty-two thousand, one hundred forty-four".