2413265600 has 168 divisors, whose sum is σ = 6329751120. Its totient is φ = 905564160.

The previous prime is 2413265599. The next prime is 2413265611. The reversal of 2413265600 is 65623142.

It is a super-2 number, since 2×2413265600² = 11647701712286720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7860647 + ... + 7860953.

It is an arithmetic number, because the mean of its divisors is an integer number (37677090).

Almost surely, 2^2413265600 is an apocalyptic number.

2413265600 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 2413265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164875560).

2413265600 is an abundant number, since it is smaller than the sum of its proper divisors (3916485520).

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

2413265600 is an equidigital number, since it uses as much as digits as its factorization.

2413265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 2413265600 is about 49124.9997455471. Note that the first 3 decimals coincide. The cubic root of 2413265600 is about 1341.3281551928.

Adding to 2413265600 its reverse (65623142), we get a palindrome (2478888742).

The spelling of 2413265600 in words is "two billion, four hundred thirteen million, two hundred sixty-five thousand, six hundred".