2045530368 has 288 divisors, whose sum is σ = 7027435520. Its totient is φ = 574801920.

The previous prime is 2045530349. The next prime is 2045530387. The reversal of 2045530368 is 8630355402.

It is a happy number.

2045530368 is a `hidden beast` number, since 20 + 45 + 530 + 3 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (2045530349) and next prime (2045530387).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3241413 + ... + 3242043.

Almost surely, 2^2045530368 is an apocalyptic number.

2045530368 is a gapful number since it is divisible by the number (28) 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 2045530368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513717760).

2045530368 is an abundant number, since it is smaller than the sum of its proper divisors (4981905152).

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

2045530368 is an equidigital number, since it uses as much as digits as its factorization.

2045530368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2045530368 is about 45227.5399286762. The cubic root of 2045530368 is about 1269.4101809903.

The spelling of 2045530368 in words is "two billion, forty-five million, five hundred thirty thousand, three hundred sixty-eight".