2241532240000 has 160 divisors (see below), whose sum is σ = 5586199765740. Its totient is φ = 895641600000.

The previous prime is 2241532239983. The next prime is 2241532240093. The reversal of 2241532240000 is 422351422.

It can be written as a sum of positive squares in 10 ways, for example, as 609536209984 + 1631996030016 = 780728^2 + 1277496^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 76225300 + ... + 76254700.

Almost surely, 2^{2241532240000} is an apocalyptic number.

2241532240000 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 2241532240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2793099882870).

2241532240000 is an abundant number, since it is smaller than the sum of its proper divisors (3344667525740).

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

2241532240000 is an frugal number, since it uses more digits than its factorization.

2241532240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30388 (or 30361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 2241532240000 its reverse (422351422), we get a palindrome (2241954591422).

The spelling of 2241532240000 in words is "two trillion, two hundred forty-one billion, five hundred thirty-two million, two hundred forty thousand".