2605224400 has 60 divisors (see below), whose sum is σ = 6267134592. Its totient is φ = 1040744320.

The previous prime is 2605224361. The next prime is 2605224409. The reversal of 2605224400 is 44225062.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2605224409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 341427 + ... + 348973.

Almost surely, 2^2605224400 is an apocalyptic number.

2605224400 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 2605224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3133567296).

2605224400 is an abundant number, since it is smaller than the sum of its proper divisors (3661910192).

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

2605224400 is a wasteful number, since it uses less digits than its factorization.

2605224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8428 (or 8417 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 2605224400 is about 51041.3988836513. The cubic root of 2605224400 is about 1375.9892649469.

Adding to 2605224400 its reverse (44225062), we get a palindrome (2649449462).

The spelling of 2605224400 in words is "two billion, six hundred five million, two hundred twenty-four thousand, four hundred".