2045719200 has 288 divisors, whose sum is σ = 7655510016. Its totient is φ = 464808960.

The previous prime is 2045719183. The next prime is 2045719211. The reversal of 2045719200 is 29175402.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4418169 + ... + 4418631.

It is an arithmetic number, because the mean of its divisors is an integer number (26581632).

Almost surely, 2^2045719200 is an apocalyptic number.

2045719200 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 2045719200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827755008).

2045719200 is an abundant number, since it is smaller than the sum of its proper divisors (5609790816).

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

2045719200 is a wasteful number, since it uses less digits than its factorization.

2045719200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 2045719200 is about 45229.6274581164. The cubic root of 2045719200 is about 1269.4492414204.

The spelling of 2045719200 in words is "two billion, forty-five million, seven hundred nineteen thousand, two hundred".