2605160400 has 120 divisors (see below), whose sum is σ = 8463011904. Its totient is φ = 684902400.

The previous prime is 2605160387. The next prime is 2605160401. The reversal of 2605160400 is 40615062.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605160401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69912 + ... + 100488.

Almost surely, 2^2605160400 is an apocalyptic number.

2605160400 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 2605160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231505952).

2605160400 is an abundant number, since it is smaller than the sum of its proper divisors (5857851504).

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

2605160400 is a wasteful number, since it uses less digits than its factorization.

2605160400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30669 (or 30658 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2605160400 is about 51040.7719377362. The cubic root of 2605160400 is about 1375.9779973271.

Adding to 2605160400 its reverse (40615062), we get a palindrome (2645775462).

The spelling of 2605160400 in words is "two billion, six hundred five million, one hundred sixty thousand, four hundred".