2005213344 has 48 divisors (see below), whose sum is σ = 5268418848. Its totient is φ = 667803392.

The previous prime is 2005213339. The next prime is 2005213349. The reversal of 2005213344 is 4433125002.

It is an interprime number because it is at equal distance from previous prime (2005213339) and next prime (2005213349).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2005213344³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2005213349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105154 + ... + 122750.

It is an arithmetic number, because the mean of its divisors is an integer number (109758726).

Almost surely, 2^2005213344 is an apocalyptic number.

2005213344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2005213344 is an abundant number, since it is smaller than the sum of its proper divisors (3263205504).

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

2005213344 is a wasteful number, since it uses less digits than its factorization.

2005213344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18797 (or 18789 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2005213344 is about 44779.6085735461. The cubic root of 2005213344 is about 1261.0148337071.

Adding to 2005213344 its reverse (4433125002), we get a palindrome (6438338346).

The spelling of 2005213344 in words is "two billion, five million, two hundred thirteen thousand, three hundred forty-four".