2045564280 has 192 divisors, whose sum is σ = 6924808800. Its totient is φ = 543075840.

The previous prime is 2045564273. The next prime is 2045564281. The reversal of 2045564280 is 824655402.

It is a happy number.

2045564280 is a `hidden beast` number, since 2 + 0 + 4 + 5 + 5 + 642 + 8 + 0 = 666.

It is a super-2 number, since 2×2045564280² = 8368666447223836800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045564281) 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 47 ways as a sum of consecutive naturals, for example, 3780810 + ... + 3781350.

Almost surely, 2^2045564280 is an apocalyptic number.

2045564280 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 2045564280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462404400).

2045564280 is an abundant number, since it is smaller than the sum of its proper divisors (4879244520).

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

2045564280 is a wasteful number, since it uses less digits than its factorization.

2045564280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2045564280 is about 45227.9148314401. The cubic root of 2045564280 is about 1269.4171959599.

The spelling of 2045564280 in words is "two billion, forty-five million, five hundred sixty-four thousand, two hundred eighty".