2005352640 has 672 divisors, whose sum is σ = 7968227904. Its totient is φ = 477757440.

The previous prime is 2005352633. The next prime is 2005352719. The reversal of 2005352640 is 462535002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48911020 + ... + 48911060.

It is an arithmetic number, because the mean of its divisors is an integer number (11857482).

Almost surely, 2^2005352640 is an apocalyptic number.

2005352640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2005352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3984113952).

2005352640 is an abundant number, since it is smaller than the sum of its proper divisors (5962875264).

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

2005352640 is a wasteful number, since it uses less digits than its factorization.

2005352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2005352640 is about 44781.1638973352. The cubic root of 2005352640 is about 1261.0440326376.

Adding to 2005352640 its reverse (462535002), we get a palindrome (2467887642).

The spelling of 2005352640 in words is "two billion, five million, three hundred fifty-two thousand, six hundred forty".