2303004313104 has 240 divisors, whose sum is σ = 6634646022144. Its totient is φ = 682685452800.

The previous prime is 2303004313091. The next prime is 2303004313109. The reversal of 2303004313104 is 4013134003032.

It is a super-2 number, since 2×2303004313104² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2303004313109) 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 47 ways as a sum of consecutive naturals, for example, 544314669 + ... + 544318899.

Almost surely, 2^{2303004313104} is an apocalyptic number.

2303004313104 is a gapful number since it is divisible by the number (24) 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 2303004313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317323011072).

2303004313104 is an abundant number, since it is smaller than the sum of its proper divisors (4331641709040).

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

2303004313104 is a wasteful number, since it uses less digits than its factorization.

2303004313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4726 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 2303004313104 its reverse (4013134003032), we get a palindrome (6316138316136).

The spelling of 2303004313104 in words is "two trillion, three hundred three billion, four million, three hundred thirteen thousand, one hundred four".