2241657331200 has 1440 divisors, whose sum is σ = 10076513990400. Its totient is φ = 485341839360.

The previous prime is 2241657331117. The next prime is 2241657331213. The reversal of 2241657331200 is 21337561422.

2241657331200 is a `hidden beast` number, since 2 + 2 + 416 + 5 + 7 + 3 + 31 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×2241657331200³ (a number of 38 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 321750117 + ... + 321757083.

It is an arithmetic number, because the mean of its divisors is an integer number (6997579160).

Almost surely, 2^{2241657331200} is an apocalyptic number.

2241657331200 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 2241657331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5038256995200).

2241657331200 is an abundant number, since it is smaller than the sum of its proper divisors (7834856659200).

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

2241657331200 is a wasteful number, since it uses less digits than its factorization.

2241657331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 2241657331200 in words is "two trillion, two hundred forty-one billion, six hundred fifty-seven million, three hundred thirty-one thousand, two hundred".