2045521314120 has 256 divisors, whose sum is σ = 6389425152000. Its totient is φ = 523309363200.

The previous prime is 2045521314113. The next prime is 2045521314139. The reversal of 2045521314120 is 214131255402.

It is a super-2 number, since 2×2045521314120² (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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 725618071 + ... + 725620889.

It is an arithmetic number, because the mean of its divisors is an integer number (24958692000).

Almost surely, 2^{2045521314120} is an apocalyptic number.

2045521314120 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 2045521314120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194712576000).

2045521314120 is an abundant number, since it is smaller than the sum of its proper divisors (4343903837880).

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

2045521314120 is a wasteful number, since it uses less digits than its factorization.

2045521314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 2045521314120 its reverse (214131255402), we get a palindrome (2259652569522).

The spelling of 2045521314120 in words is "two trillion, forty-five billion, five hundred twenty-one million, three hundred fourteen thousand, one hundred twenty".