2606100400 has 60 divisors (see below), whose sum is σ = 6336672552. Its totient is φ = 1029867520.

The previous prime is 2606100373. The next prime is 2606100437. The reversal of 2606100400 is 40016062.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6049 + ... + 72448.

Almost surely, 2^2606100400 is an apocalyptic number.

2606100400 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 2606100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3168336276).

2606100400 is an abundant number, since it is smaller than the sum of its proper divisors (3730572152).

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

2606100400 is a wasteful number, since it uses less digits than its factorization.

2606100400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78598 (or 78587 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 2606100400 is about 51049.9794319253. The cubic root of 2606100400 is about 1376.1434719474.

Adding to 2606100400 its reverse (40016062), we get a palindrome (2646116462).

The spelling of 2606100400 in words is "two billion, six hundred six million, one hundred thousand, four hundred".