2045334553200 has 240 divisors, whose sum is σ = 7372029350400. Its totient is φ = 538518240000.

The previous prime is 2045334553193. The next prime is 2045334553201. The reversal of 2045334553200 is 23554335402.

2045334553200 is a `hidden beast` number, since 2 + 0 + 4 + 53 + 34 + 553 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045334553201) by changing a digit.

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, 345426 + ... + 2051825.

It is an arithmetic number, because the mean of its divisors is an integer number (30716788960).

Almost surely, 2^{2045334553200} is an apocalyptic number.

2045334553200 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 2045334553200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686014675200).

2045334553200 is an abundant number, since it is smaller than the sum of its proper divisors (5326694797200).

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

2045334553200 is a wasteful number, since it uses less digits than its factorization.

2045334553200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2397357 (or 2397340 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

Adding to 2045334553200 its reverse (23554335402), we get a palindrome (2068888888602).

The spelling of 2045334553200 in words is "two trillion, forty-five billion, three hundred thirty-four million, five hundred fifty-three thousand, two hundred".