2413320000 has 840 divisors, whose sum is σ = 10455103296. Its totient is φ = 479232000.

The previous prime is 2413319981. The next prime is 2413320001. The reversal of 2413320000 is 233142.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×2413320000² = 11648226844800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1690 × 1190 × 1200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413320001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141959992 + ... + 141960008.

Almost surely, 2^2413320000 is an apocalyptic number.

2413320000 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 2413320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5227551648).

2413320000 is an abundant number, since it is smaller than the sum of its proper divisors (8041783296).

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

2413320000 is a wasteful number, since it uses less digits than its factorization.

2413320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 2413320000 is about 49125.5534319971. The cubic root of 2413320000 is about 1341.3382338877.

Adding to 2413320000 its reverse (233142), we get a palindrome (2413553142).

The spelling of 2413320000 in words is "two billion, four hundred thirteen million, three hundred twenty thousand".