2404133130 has 128 divisors (see below), whose sum is σ = 6720454656. Its totient is φ = 539078400.

The previous prime is 2404133119. The next prime is 2404133131. The reversal of 2404133130 is 313314042.

It is a super-2 number, since 2×2404133130² = 11559712213527193800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2404133097 and 2404133106.

It is not an unprimeable number, because it can be changed into a prime (2404133131) 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 63 ways as a sum of consecutive naturals, for example, 5710320 + ... + 5710740.

It is an arithmetic number, because the mean of its divisors is an integer number (52503552).

Almost surely, 2^2404133130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2404133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360227328).

2404133130 is an abundant number, since it is smaller than the sum of its proper divisors (4316321526).

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

2404133130 is a wasteful number, since it uses less digits than its factorization.

2404133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 2404133130 is about 49031.9602912223. The cubic root of 2404133130 is about 1339.6340297827.

Adding to 2404133130 its reverse (313314042), we get a palindrome (2717447172).

The spelling of 2404133130 in words is "two billion, four hundred four million, one hundred thirty-three thousand, one hundred thirty".