2504104000 has 112 divisors (see below), whose sum is σ = 6272875440. Its totient is φ = 990105600.

The previous prime is 2504103997. The next prime is 2504104003. The reversal of 2504104000 is 4014052.

It is an interprime number because it is at equal distance from previous prime (2504103997) and next prime (2504104003).

It can be written as a sum of positive squares in 8 ways, for example, as 534164544 + 1969939456 = 23112^2 + 44384^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2504104003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 710242 + ... + 713758.

Almost surely, 2^2504104000 is an apocalyptic number.

2504104000 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 2504104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136437720).

2504104000 is an abundant number, since it is smaller than the sum of its proper divisors (3768771440).

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

2504104000 is an equidigital number, since it uses as much as digits as its factorization.

2504104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3633 (or 3613 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2504104000 is about 50041.0231709944. The cubic root of 2504104000 is about 1357.9510669415.

Adding to 2504104000 its reverse (4014052), we get a palindrome (2508118052).

The spelling of 2504104000 in words is "two billion, five hundred four million, one hundred four thousand".