2005537408 has 32 divisors (see below), whose sum is σ = 4566180960. Its totient is φ = 859515648.

The previous prime is 2005537403. The next prime is 2005537459. The reversal of 2005537408 is 8047355002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2005537403) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1118266 + ... + 1120057.

It is an arithmetic number, because the mean of its divisors is an integer number (142693155).

Almost surely, 2^2005537408 is an apocalyptic number.

2005537408 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2005537408 is an abundant number, since it is smaller than the sum of its proper divisors (2560643552).

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

2005537408 is an equidigital number, since it uses as much as digits as its factorization.

2005537408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238344 (or 2238332 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 2005537408 is about 44783.2268600645. The cubic root of 2005537408 is about 1261.0827612255.

The spelling of 2005537408 in words is "two billion, five million, five hundred thirty-seven thousand, four hundred eight".