2604220416 has 360 divisors, whose sum is σ = 9132818240. Its totient is φ = 718405632.

The previous prime is 2604220403. The next prime is 2604220417. The reversal of 2604220416 is 6140224062.

2604220416 is a `hidden beast` number, since 26 + 0 + 4 + 220 + 416 = 666.

It is a super-2 number, since 2×2604220416² = 13563927950222426112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2604220416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604220417) 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, 89800690 + ... + 89800718.

Almost surely, 2^2604220416 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 2604220416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566409120).

2604220416 is an abundant number, since it is smaller than the sum of its proper divisors (6528597824).

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

2604220416 is an frugal number, since it uses more digits than its factorization.

2604220416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2604220416 is about 51031.5629390282. The cubic root of 2604220416 is about 1375.8124857150.

Adding to 2604220416 its reverse (6140224062), we get a palindrome (8744444478).

The spelling of 2604220416 in words is "two billion, six hundred four million, two hundred twenty thousand, four hundred sixteen".