2005612752 has 240 divisors, whose sum is σ = 6217352064. Its totient is φ = 553344000.

The previous prime is 2005612729. The next prime is 2005612759. The reversal of 2005612752 is 2572165002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005612759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7625773 + ... + 7626035.

Almost surely, 2^2005612752 is an apocalyptic number.

2005612752 is a gapful number since it is divisible by the number (22) 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 2005612752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3108676032).

2005612752 is an abundant number, since it is smaller than the sum of its proper divisors (4211739312).

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

2005612752 is a wasteful number, since it uses less digits than its factorization.

2005612752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 2005612752 is about 44784.0680599697. The cubic root of 2005612752 is about 1261.0985531407.

Adding to 2005612752 its reverse (2572165002), we get a palindrome (4577777754).

The spelling of 2005612752 in words is "two billion, five million, six hundred twelve thousand, seven hundred fifty-two".