2008795400 has 48 divisors (see below), whose sum is σ = 4758596100. Its totient is φ = 788353280.

The previous prime is 2008795343. The next prime is 2008795409. The reversal of 2008795400 is 45978002.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 392594596 + 1616200804 = 19814^2 + 40202^2 .

It is a super-2 number, since 2×2008795400² = 8070517918122320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2008795409) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 84155 + ... + 105354.

Almost surely, 2^2008795400 is an apocalyptic number.

2008795400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2008795400 is an abundant number, since it is smaller than the sum of its proper divisors (2749800700).

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

2008795400 is a wasteful number, since it uses less digits than its factorization.

2008795400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189578 (or 189569 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 2008795400 is about 44819.5872359396. The cubic root of 2008795400 is about 1261.7652673597.

The spelling of 2008795400 in words is "two billion, eight million, seven hundred ninety-five thousand, four hundred".