2413004020 has 72 divisors (see below), whose sum is σ = 5904954216. Its totient is φ = 825866496.

The previous prime is 2413004003. The next prime is 2413004051. The reversal of 2413004020 is 204003142.

It can be written as a sum of positive squares in 4 ways, for example, as 308213136 + 2104790884 = 17556^2 + 45878^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2413003985 and 2413004003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 661642 + ... + 665278.

It is an arithmetic number, because the mean of its divisors is an integer number (82013253).

Almost surely, 2^2413004020 is an apocalyptic number.

2413004020 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 2413004020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952477108).

2413004020 is an abundant number, since it is smaller than the sum of its proper divisors (3491950196).

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

2413004020 is a wasteful number, since it uses less digits than its factorization.

2413004020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4337 (or 4328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2413004020 is about 49122.3372815260. The cubic root of 2413004020 is about 1341.2796901175.

Adding to 2413004020 its reverse (204003142), we get a palindrome (2617007162).

The spelling of 2413004020 in words is "two billion, four hundred thirteen million, four thousand, twenty".