2045122400000 has 108 divisors (see below), whose sum is σ = 5102495466264. Its totient is φ = 818048640000.

The previous prime is 2045122399979. The next prime is 2045122400003. The reversal of 2045122400000 is 42215402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045122400003) 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 11 ways as a sum of consecutive naturals, for example, 478202 + ... + 2078201.

Almost surely, 2^{2045122400000} is an apocalyptic number.

2045122400000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2045122400000 is an abundant number, since it is smaller than the sum of its proper divisors (3057373066264).

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

2045122400000 is an frugal number, since it uses more digits than its factorization.

2045122400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556444 (or 2556410 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 2045122400000 its reverse (42215402), we get a palindrome (2045164615402).

The spelling of 2045122400000 in words is "two trillion, forty-five billion, one hundred twenty-two million, four hundred thousand".