2052743834400 has 288 divisors, whose sum is σ = 7638814834560. Its totient is φ = 469038366720.

The previous prime is 2052743834353. The next prime is 2052743834429. The reversal of 2052743834400 is 44383472502.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 53219922 + ... + 53258478.

It is an arithmetic number, because the mean of its divisors is an integer number (26523662620).

Almost surely, 2^{2052743834400} is an apocalyptic number.

2052743834400 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 2052743834400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3819407417280).

2052743834400 is an abundant number, since it is smaller than the sum of its proper divisors (5586071000160).

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

2052743834400 is a wasteful number, since it uses less digits than its factorization.

2052743834400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41756 (or 41743 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 2052743834400 in words is "two trillion, fifty-two billion, seven hundred forty-three million, eight hundred thirty-four thousand, four hundred".