2604947400 has 576 divisors, whose sum is σ = 10341302400. Its totient is φ = 580608000.

The previous prime is 2604947399. The next prime is 2604947407. The reversal of 2604947400 is 47494062.

2604947400 is a `hidden beast` number, since 2 + 604 + 9 + 4 + 7 + 40 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2604947407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23898546 + ... + 23898654.

It is an arithmetic number, because the mean of its divisors is an integer number (17953650).

Almost surely, 2^2604947400 is an apocalyptic number.

2604947400 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 2604947400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170651200).

2604947400 is an abundant number, since it is smaller than the sum of its proper divisors (7736355000).

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

2604947400 is a wasteful number, since it uses less digits than its factorization.

2604947400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2604947400 is about 51038.6853278961. The cubic root of 2604947400 is about 1375.9404959508.

The spelling of 2604947400 in words is "two billion, six hundred four million, nine hundred forty-seven thousand, four hundred".