2045144023040 has 120 divisors (see below), whose sum is σ = 5066531054592. Its totient is φ = 791667671040.

The previous prime is 2045144023031. The next prime is 2045144023123. The reversal of 2045144023040 is 403204415402.

It is a super-2 number, since 2×2045144023040² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2045144022994 and 2045144023012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136857 + ... + 2942183.

Almost surely, 2^{2045144023040} is an apocalyptic number.

2045144023040 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 2045144023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2533265527296).

2045144023040 is an abundant number, since it is smaller than the sum of its proper divisors (3021387031552).

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

2045144023040 is an frugal number, since it uses more digits than its factorization.

2045144023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805391 (or 805365 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

Adding to 2045144023040 its reverse (403204415402), we get a palindrome (2448348438442).

The spelling of 2045144023040 in words is "two trillion, forty-five billion, one hundred forty-four million, twenty-three thousand, forty".