2240231493600 has 288 divisors, whose sum is σ = 8118710369280. Its totient is φ = 596175552000.

The previous prime is 2240231493587. The next prime is 2240231493611. The reversal of 2240231493600 is 63941320422.

2240231493600 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 2 + 3 + 1 + 49 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10499985 + ... + 10711215.

It is an arithmetic number, because the mean of its divisors is an integer number (28189966560).

Almost surely, 2^{2240231493600} is an apocalyptic number.

2240231493600 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 2240231493600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059355184640).

2240231493600 is an abundant number, since it is smaller than the sum of its proper divisors (5878478875680).

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

2240231493600 is a wasteful number, since it uses less digits than its factorization.

2240231493600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211751 (or 211732 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 2240231493600 in words is "two trillion, two hundred forty billion, two hundred thirty-one million, four hundred ninety-three thousand, six hundred".