2142733824000 has 3120 divisors, whose sum is σ = 10199531229888. Its totient is φ = 437944320000.

The previous prime is 2142733823963. The next prime is 2142733824043. The reversal of 2142733824000 is 4283372412.

It is a happy number.

2142733824000 is a `hidden beast` number, since 2 + 1 + 4 + 273 + 382 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35126783970 + ... + 35126784030.

Almost surely, 2^{2142733824000} is an apocalyptic number.

2142733824000 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 2142733824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099765614944).

2142733824000 is an abundant number, since it is smaller than the sum of its proper divisors (8056797405888).

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

2142733824000 is an equidigital number, since it uses as much as digits as its factorization.

2142733824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2142733824000 in words is "two trillion, one hundred forty-two billion, seven hundred thirty-three million, eight hundred twenty-four thousand".