2605381632 has 384 divisors, whose sum is σ = 9057484800. Its totient is φ = 724598784.

The previous prime is 2605381609. The next prime is 2605381643. The reversal of 2605381632 is 2361835062.

It is a happy number.

2605381632 is a `hidden beast` number, since 2 + 60 + 538 + 1 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

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 31 ways as a sum of consecutive naturals, for example, 20514753 + ... + 20514879.

It is an arithmetic number, because the mean of its divisors is an integer number (23587200).

Almost surely, 2^2605381632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2605381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4528742400).

2605381632 is an abundant number, since it is smaller than the sum of its proper divisors (6452103168).

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

2605381632 is a wasteful number, since it uses less digits than its factorization.

2605381632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2605381632 is about 51042.9391003300. The cubic root of 2605381632 is about 1376.0169458883.

The spelling of 2605381632 in words is "two billion, six hundred five million, three hundred eighty-one thousand, six hundred thirty-two".