2413302012 has 192 divisors, whose sum is σ = 7141478400. Its totient is φ = 706838400.

The previous prime is 2413301983. The next prime is 2413302013. The reversal of 2413302012 is 2102033142.

2413302012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2413302012² = 11648053202246496288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413302013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2982664 + ... + 2983472.

It is an arithmetic number, because the mean of its divisors is an integer number (37195200).

Almost surely, 2^2413302012 is an apocalyptic number.

2413302012 is a gapful number since it is divisible by the number (22) 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 2413302012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570739200).

2413302012 is an abundant number, since it is smaller than the sum of its proper divisors (4728176388).

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

2413302012 is a wasteful number, since it uses less digits than its factorization.

2413302012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2413302012 is about 49125.3703497490. The cubic root of 2413302012 is about 1341.3349012654.

Adding to 2413302012 its reverse (2102033142), we get a palindrome (4515335154).

It can be divided in two parts, 241330 and 2012, that added together give a palindrome (243342).

The spelling of 2413302012 in words is "two billion, four hundred thirteen million, three hundred two thousand, twelve".