2045125344000 has 288 divisors, whose sum is σ = 7150410408960. Its totient is φ = 516662784000.

The previous prime is 2045125343999. The next prime is 2045125344011. The reversal of 2045125344000 is 4435215402.

It is a super-2 number, since 2×2045125344000² (a number of 25 digits) contains 22 as substring.

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

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 31 ways as a sum of consecutive naturals, for example, 1263385 + ... + 2384615.

It is an arithmetic number, because the mean of its divisors is an integer number (24827813920).

Almost surely, 2^{2045125344000} is an apocalyptic number.

2045125344000 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 2045125344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575205204480).

2045125344000 is an abundant number, since it is smaller than the sum of its proper divisors (5105285064960).

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

2045125344000 is a wasteful number, since it uses less digits than its factorization.

2045125344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121284 (or 1121260 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 2045125344000 in words is "two trillion, forty-five billion, one hundred twenty-five million, three hundred forty-four thousand".