2413116024 has 192 divisors, whose sum is σ = 7080877440. Its totient is φ = 679092480.

The previous prime is 2413115933. The next prime is 2413116029. The reversal of 2413116024 is 4206113142.

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

It is a junction number, because it is equal to n+sod(n) for n = 2413115985 and 2413116003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413116029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5167039 + ... + 5167505.

It is an arithmetic number, because the mean of its divisors is an integer number (36879570).

Almost surely, 2^2413116024 is an apocalyptic number.

2413116024 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 2413116024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3540438720).

2413116024 is an abundant number, since it is smaller than the sum of its proper divisors (4667761416).

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

2413116024 is a wasteful number, since it uses less digits than its factorization.

2413116024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2413116024 is about 49123.4773199129. The cubic root of 2413116024 is about 1341.3004424474.

Adding to 2413116024 its reverse (4206113142), we get a palindrome (6619229166).

The spelling of 2413116024 in words is "two billion, four hundred thirteen million, one hundred sixteen thousand, twenty-four".