2045344123200 has 1344 divisors, whose sum is σ = 8102081433600. Its totient is φ = 451276922880.

The previous prime is 2045344123183. The next prime is 2045344123217. The reversal of 2045344123200 is 23214435402.

It is an interprime number because it is at equal distance from previous prime (2045344123183) and next prime (2045344123217).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11822798314 + ... + 11822798486.

It is an arithmetic number, because the mean of its divisors is an integer number (6028334400).

Almost surely, 2^{2045344123200} is an apocalyptic number.

2045344123200 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 2045344123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051040716800).

2045344123200 is an abundant number, since it is smaller than the sum of its proper divisors (6056737310400).

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

2045344123200 is a wasteful number, since it uses less digits than its factorization.

2045344123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 2045344123200 its reverse (23214435402), we get a palindrome (2068558558602).

The spelling of 2045344123200 in words is "two trillion, forty-five billion, three hundred forty-four million, one hundred twenty-three thousand, two hundred".