2040595200 has 648 divisors, whose sum is σ = 8740430160. Its totient is φ = 464486400.

The previous prime is 2040595169. The next prime is 2040595279. The reversal of 2040595200 is 25950402.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8467080 + ... + 8467320.

Almost surely, 2^2040595200 is an apocalyptic number.

2040595200 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 2040595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4370215080).

2040595200 is an abundant number, since it is smaller than the sum of its proper divisors (6699834960).

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

2040595200 is a wasteful number, since it uses less digits than its factorization.

2040595200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2040595200 is about 45172.9476567558. The cubic root of 2040595200 is about 1268.3884740850.

The spelling of 2040595200 in words is "two billion, forty million, five hundred ninety-five thousand, two hundred".