2045231522400 has 288 divisors, whose sum is σ = 7496706180096. Its totient is φ = 479819520000.

The previous prime is 2045231522381. The next prime is 2045231522417. The reversal of 2045231522400 is 42251325402.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 431131 + ... + 2067930.

It is an arithmetic number, because the mean of its divisors is an integer number (26030229792).

Almost surely, 2^{2045231522400} is an apocalyptic number.

2045231522400 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 2045231522400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748353090048).

2045231522400 is an abundant number, since it is smaller than the sum of its proper divisors (5451474657696).

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

2045231522400 is a wasteful number, since it uses less digits than its factorization.

2045231522400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2499126 (or 2499113 counting only the distinct ones).

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

Adding to 2045231522400 its reverse (42251325402), we get a palindrome (2087482847802).

The spelling of 2045231522400 in words is "two trillion, forty-five billion, two hundred thirty-one million, five hundred twenty-two thousand, four hundred".