2604651138 has 96 divisors (see below), whose sum is σ = 6060225600. Its totient is φ = 806122368.

The previous prime is 2604651131. The next prime is 2604651143. The reversal of 2604651138 is 8311564062.

It is a happy number.

2604651138 is a `hidden beast` number, since 2 + 60 + 465 + 1 + 138 = 666.

It is not an unprimeable number, because it can be changed into a prime (2604651131) 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 47 ways as a sum of consecutive naturals, for example, 3988420 + ... + 3989072.

It is an arithmetic number, because the mean of its divisors is an integer number (63127350).

Almost surely, 2^2604651138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2604651138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3030112800).

2604651138 is an abundant number, since it is smaller than the sum of its proper divisors (3455574462).

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

2604651138 is a wasteful number, since it uses less digits than its factorization.

2604651138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2604651138 is about 51035.7829174786. The cubic root of 2604651138 is about 1375.8883318344. Note that the first 3 decimals are identical.

The spelling of 2604651138 in words is "two billion, six hundred four million, six hundred fifty-one thousand, one hundred thirty-eight".