2005267440 has 80 divisors (see below), whose sum is σ = 6781458816. Its totient is φ = 486124800.

The previous prime is 2005267421. The next prime is 2005267463. The reversal of 2005267440 is 447625002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2005267398 and 2005267407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377146 + ... + 382425.

Almost surely, 2^2005267440 is an apocalyptic number.

2005267440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2005267440 is an abundant number, since it is smaller than the sum of its proper divisors (4776191376).

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

2005267440 is a wasteful number, since it uses less digits than its factorization.

2005267440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759598 (or 759592 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2005267440 is about 44780.2125944038. The cubic root of 2005267440 is about 1261.0261733559.

The spelling of 2005267440 in words is "two billion, five million, two hundred sixty-seven thousand, four hundred forty".