2153242531200 has 384 divisors, whose sum is σ = 7160718827520. Its totient is φ = 568670699520.

The previous prime is 2153242531199. The next prime is 2153242531241. The reversal of 2153242531200 is 21352423512.

It is a tau number, because it is divible by the number of its divisors (384).

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 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, 905864412 + ... + 905866788.

It is an arithmetic number, because the mean of its divisors is an integer number (18647705280).

Almost surely, 2^{2153242531200} is an apocalyptic number.

2153242531200 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 2153242531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580359413760).

2153242531200 is an abundant number, since it is smaller than the sum of its proper divisors (5007476296320).

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

2153242531200 is a wasteful number, since it uses less digits than its factorization.

2153242531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3274 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2153242531200 its reverse (21352423512), we get a palindrome (2174594954712).

The spelling of 2153242531200 in words is "two trillion, one hundred fifty-three billion, two hundred forty-two million, five hundred thirty-one thousand, two hundred".