2604566016 has 200 divisors, whose sum is σ = 8373672384. Its totient is φ = 801239040.

The previous prime is 2604566011. The next prime is 2604566057. The reversal of 2604566016 is 6106654062.

It is a happy number.

2604566016 is a `hidden beast` number, since 2 + 6 + 0 + 45 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×2604566016² = 13567528263404224512, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604566011) 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 19 ways as a sum of consecutive naturals, for example, 536721 + ... + 541551.

Almost surely, 2^2604566016 is an apocalyptic number.

2604566016 is a gapful number since it is divisible by the number (26) 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 2604566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186836192).

2604566016 is an abundant number, since it is smaller than the sum of its proper divisors (5769106368).

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

2604566016 is an equidigital number, since it uses as much as digits as its factorization.

2604566016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4849 counting only the distinct ones).

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

The square root of 2604566016 is about 51034.9489663701. The cubic root of 2604566016 is about 1375.8733433086.

The spelling of 2604566016 in words is "two billion, six hundred four million, five hundred sixty-six thousand, sixteen".