2413413000 has 384 divisors, whose sum is σ = 8673350400. Its totient is φ = 604032000.

The previous prime is 2413412999. The next prime is 2413413029. The reversal of 2413413000 is 3143142.

2413413000 is a `hidden beast` number, since 24 + 1 + 341 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18422935 + ... + 18423065.

It is an arithmetic number, because the mean of its divisors is an integer number (22586850).

Almost surely, 2^2413413000 is an apocalyptic number.

2413413000 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 2413413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336675200).

2413413000 is an abundant number, since it is smaller than the sum of its proper divisors (6259937400).

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

2413413000 is a wasteful number, since it uses less digits than its factorization.

2413413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 253 counting only the distinct ones).

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

The square root of 2413413000 is about 49126.4999770999. The cubic root of 2413413000 is about 1341.3554636588.

2413413000 divided by its sum of digits (18) gives a triangular number (134078500 = T₁₆₃₇₅).

Adding to 2413413000 its reverse (3143142), we get a palindrome (2416556142).

The spelling of 2413413000 in words is "two billion, four hundred thirteen million, four hundred thirteen thousand".