2606004864 has 96 divisors (see below), whose sum is σ = 7658763840. Its totient is φ = 850168320.

The previous prime is 2606004853. The next prime is 2606004883. The reversal of 2606004864 is 4684006062.

It is a happy number.

2606004864 is a `hidden beast` number, since 2 + 6 + 0 + 600 + 48 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2606004864² = 13582522702383316992, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30079 + ... + 78209.

It is an arithmetic number, because the mean of its divisors is an integer number (79778790).

Almost surely, 2^2606004864 is an apocalyptic number.

2606004864 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 2606004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829381920).

2606004864 is an abundant number, since it is smaller than the sum of its proper divisors (5052758976).

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

2606004864 is a wasteful number, since it uses less digits than its factorization.

2606004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48198 (or 48183 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2606004864 is about 51049.0437128846. The cubic root of 2606004864 is about 1376.1266559095.

The spelling of 2606004864 in words is "two billion, six hundred six million, four thousand, eight hundred sixty-four".