2413806720 has 384 divisors, whose sum is σ = 8574413760. Its totient is φ = 576995328.

The previous prime is 2413806641. The next prime is 2413806749. The reversal of 2413806720 is 276083142.

2413806720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13952554 + ... + 13952726.

Almost surely, 2^2413806720 is an apocalyptic number.

2413806720 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 2413806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4287206880).

2413806720 is an abundant number, since it is smaller than the sum of its proper divisors (6160607040).

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

2413806720 is a wasteful number, since it uses less digits than its factorization.

2413806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 2413806720 is about 49130.5070195698. The cubic root of 2413806720 is about 1341.4284018252.

Adding to 2413806720 its reverse (276083142), we get a palindrome (2689889862).

The spelling of 2413806720 in words is "two billion, four hundred thirteen million, eight hundred six thousand, seven hundred twenty".