2231521640400 has 240 divisors, whose sum is σ = 7768808875520. Its totient is φ = 544257792000.

The previous prime is 2231521640377. The next prime is 2231521640441. The reversal of 2231521640400 is 40461251322.

2231521640400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×2231521640400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1044225 + ... + 2356575.

Almost surely, 2^{2231521640400} is an apocalyptic number.

2231521640400 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 2231521640400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884404437760).

2231521640400 is an abundant number, since it is smaller than the sum of its proper divisors (5537287235120).

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

2231521640400 is a wasteful number, since it uses less digits than its factorization.

2231521640400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312494 (or 1312483 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 2231521640400 its reverse (40461251322), we get a palindrome (2271982891722).

The spelling of 2231521640400 in words is "two trillion, two hundred thirty-one billion, five hundred twenty-one million, six hundred forty thousand, four hundred".