2005665400 has 48 divisors (see below), whose sum is σ = 4706004600. Its totient is φ = 794897280.

The previous prime is 2005665397. The next prime is 2005665427. The reversal of 2005665400 is 45665002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24202 + ... + 67801.

Almost surely, 2^2005665400 is an apocalyptic number.

2005665400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005665400 is an abundant number, since it is smaller than the sum of its proper divisors (2700339200).

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

2005665400 is a wasteful number, since it uses less digits than its factorization.

2005665400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92128 (or 92119 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 2005665400 is about 44784.6558544330. The cubic root of 2005665400 is about 1261.1095877959.

The spelling of 2005665400 in words is "two billion, five million, six hundred sixty-five thousand, four hundred".