2604981600 has 288 divisors, whose sum is σ = 10147163040. Its totient is φ = 641157120.

The previous prime is 2604981593. The next prime is 2604981601. The reversal of 2604981600 is 61894062.

2604981600 is a `hidden beast` number, since 2 + 6 + 0 + 49 + 8 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (2604981601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 276162 + ... + 285438.

It is an arithmetic number, because the mean of its divisors is an integer number (35233205).

Almost surely, 2^2604981600 is an apocalyptic number.

2604981600 is a gapful number since it is divisible by the number (20) 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 2604981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5073581520).

2604981600 is an abundant number, since it is smaller than the sum of its proper divisors (7542181440).

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

2604981600 is a wasteful number, since it uses less digits than its factorization.

2604981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9319 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2604981600 is about 51039.0203667743. The cubic root of 2604981600 is about 1375.9465174363.

The spelling of 2604981600 in words is "two billion, six hundred four million, nine hundred eighty-one thousand, six hundred".