2652129744000 has 1024 divisors, whose sum is σ = 10690419916800. Its totient is φ = 573235200000.

The previous prime is 2652129743999. The next prime is 2652129744013. The reversal of 2652129744000 is 4479212562.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170536225 + ... + 170551775.

It is an arithmetic number, because the mean of its divisors is an integer number (10439863200).

Almost surely, 2^{2652129744000} is an apocalyptic number.

2652129744000 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 2652129744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5345209958400).

2652129744000 is an abundant number, since it is smaller than the sum of its proper divisors (8038290172800).

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

2652129744000 is a wasteful number, since it uses less digits than its factorization.

2652129744000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15630 (or 15608 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 2652129744000 in words is "two trillion, six hundred fifty-two billion, one hundred twenty-nine million, seven hundred forty-four thousand".