2131552240000 has 640 divisors, whose sum is σ = 5797609171200. Its totient is φ = 777600000000.

The previous prime is 2131552239997. The next prime is 2131552240007. The reversal of 2131552240000 is 422551312.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131552240007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8492239875 + ... + 8492240125.

It is an arithmetic number, because the mean of its divisors is an integer number (9058764330).

Almost surely, 2^{2131552240000} is an apocalyptic number.

2131552240000 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 2131552240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2898804585600).

2131552240000 is an abundant number, since it is smaller than the sum of its proper divisors (3666056931200).

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

2131552240000 is a wasteful number, since it uses less digits than its factorization.

2131552240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 2131552240000 its reverse (422551312), we get a palindrome (2131974791312).

The spelling of 2131552240000 in words is "two trillion, one hundred thirty-one billion, five hundred fifty-two million, two hundred forty thousand".