2605261824 has 264 divisors, whose sum is σ = 8481457920. Its totient is φ = 763084800.

The previous prime is 2605261823. The next prime is 2605261829. The reversal of 2605261824 is 4281625062.

It is a happy number.

2605261824 is a `hidden beast` number, since 2 + 605 + 26 + 1 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is not an unprimeable number, because it can be changed into a prime (2605261823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142242 + ... + 3143070.

Almost surely, 2^2605261824 is an apocalyptic number.

2605261824 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 2605261824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240728960).

2605261824 is an abundant number, since it is smaller than the sum of its proper divisors (5876196096).

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

2605261824 is a wasteful number, since it uses less digits than its factorization.

2605261824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2605261824 is about 51041.7654867071. The cubic root of 2605261824 is about 1375.9958536021.

Adding to 2605261824 its reverse (4281625062), we get a palindrome (6886886886).

The spelling of 2605261824 in words is "two billion, six hundred five million, two hundred sixty-one thousand, eight hundred twenty-four".