2606814144 has 112 divisors (see below), whose sum is σ = 8360298240. Its totient is φ = 789937920.

The previous prime is 2606814139. The next prime is 2606814173. The reversal of 2606814144 is 4414186062.

It is a happy number.

2606814144 is a `hidden beast` number, since 2 + 606 + 8 + 1 + 4 + 1 + 44 = 666.

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 = 2606814099 and 2606814108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49564 + ... + 87579.

It is an arithmetic number, because the mean of its divisors is an integer number (74645520).

Almost surely, 2^2606814144 is an apocalyptic number.

2606814144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2606814144 is an abundant number, since it is smaller than the sum of its proper divisors (5753484096).

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

2606814144 is a wasteful number, since it uses less digits than its factorization.

2606814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137175 (or 137159 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2606814144 is about 51056.9695927990. The cubic root of 2606814144 is about 1376.2690906038.

The spelling of 2606814144 in words is "two billion, six hundred six million, eight hundred fourteen thousand, one hundred forty-four".