2045122560 has 384 divisors, whose sum is σ = 7842744000. Its totient is φ = 502530048.

The previous prime is 2045122549. The next prime is 2045122567. The reversal of 2045122560 is 652215402.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045122567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593956 + ... + 3594524.

Almost surely, 2^2045122560 is an apocalyptic number.

2045122560 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 2045122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3921372000).

2045122560 is an abundant number, since it is smaller than the sum of its proper divisors (5797621440).

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

2045122560 is a wasteful number, since it uses less digits than its factorization.

2045122560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2045122560 is about 45223.0313004336. The cubic root of 2045122560 is about 1269.3258165566.

Adding to 2045122560 its reverse (652215402), we get a palindrome (2697337962).

The spelling of 2045122560 in words is "two billion, forty-five million, one hundred twenty-two thousand, five hundred sixty".