2045008000 has 384 divisors, whose sum is σ = 6320246400. Its totient is φ = 642816000.

The previous prime is 2045007989. The next prime is 2045008003. The reversal of 2045008000 is 8005402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2045008003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 65967985 + ... + 65968015.

It is an arithmetic number, because the mean of its divisors is an integer number (16458975).

Almost surely, 2^2045008000 is an apocalyptic number.

2045008000 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 2045008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160123200).

2045008000 is an abundant number, since it is smaller than the sum of its proper divisors (4275238400).

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

2045008000 is an equidigital number, since it uses as much as digits as its factorization.

2045008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 2045008000 is about 45221.7646714500. The cubic root of 2045008000 is about 1269.3021151766.

The spelling of 2045008000 in words is "two billion, forty-five million, eight thousand".