2131724968000 has 112 divisors (see below), whose sum is σ = 5287595833728. Its totient is φ = 851336640000.

The previous prime is 2131724967979. The next prime is 2131724968027. The reversal of 2131724968000 is 8694271312.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4836855 + ... + 5259145.

Almost surely, 2^{2131724968000} is an apocalyptic number.

2131724968000 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 2131724968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643797916864).

2131724968000 is an abundant number, since it is smaller than the sum of its proper divisors (3155870865728).

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

2131724968000 is an equidigital number, since it uses as much as digits as its factorization.

2131724968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422949 (or 422929 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 2131724968000 in words is "two trillion, one hundred thirty-one billion, seven hundred twenty-four million, nine hundred sixty-eight thousand".