2606000400 has 180 divisors, whose sum is σ = 9065170660. Its totient is φ = 693273600.

The previous prime is 2606000389. The next prime is 2606000471. The reversal of 2606000400 is 40006062.

2606000400 is a `hidden beast` number, since 2 + 60 + 600 + 0 + 4 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 51049²-1.

It can be written as a sum of positive squares in 6 ways, for example, as 237036816 + 2368963584 = 15396^2 + 48672^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2551890 + ... + 2552910.

Almost surely, 2^2606000400 is an apocalyptic number.

2606000400 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 2606000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4532585330).

2606000400 is an abundant number, since it is smaller than the sum of its proper divisors (6459170260).

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

2606000400 is a wasteful number, since it uses less digits than its factorization.

2606000400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2606000400 is about 51048.9999902055. Note that the first 5 decimals coincide. The cubic root of 2606000400 is about 1376.1258701559.

Adding to 2606000400 its reverse (40006062), we get a palindrome (2646006462).

The spelling of 2606000400 in words is "two billion, six hundred six million, four hundred", and thus it is an aban number.