2241713412900 has 1152 divisors, whose sum is σ = 8300068761600. Its totient is φ = 515082240000.

The previous prime is 2241713412863. The next prime is 2241713412919. The reversal of 2241713412900 is 92143171422.

2241713412900 is a `hidden beast` number, since 2 + 24 + 1 + 7 + 1 + 341 + 290 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4862718670 + ... + 4862719130.

It is an arithmetic number, because the mean of its divisors is an integer number (7204920800).

Almost surely, 2^{2241713412900} is an apocalyptic number.

2241713412900 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 2241713412900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4150034380800).

2241713412900 is an abundant number, since it is smaller than the sum of its proper divisors (6058355348700).

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

2241713412900 is a wasteful number, since it uses less digits than its factorization.

2241713412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 2241713412900 in words is "two trillion, two hundred forty-one billion, seven hundred thirteen million, four hundred twelve thousand, nine hundred".