2005510672 has 80 divisors (see below), whose sum is σ = 4573314432. Its totient is φ = 841717760.

The previous prime is 2005510651. The next prime is 2005510679. The reversal of 2005510672 is 2760155002.

It is a self number, because there is not a number n which added to its sum of digits gives 2005510672.

It is not an unprimeable number, because it can be changed into a prime (2005510679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152253 + ... + 164899.

Almost surely, 2^2005510672 is an apocalyptic number.

2005510672 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 2005510672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286657216).

2005510672 is an abundant number, since it is smaller than the sum of its proper divisors (2567803760).

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

2005510672 is a wasteful number, since it uses less digits than its factorization.

2005510672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12736 (or 12730 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2005510672 is about 44782.9283544522. The cubic root of 2005510672 is about 1261.0771573313.

Adding to 2005510672 its reverse (2760155002), we get a palindrome (4765665674).

The spelling of 2005510672 in words is "two billion, five million, five hundred ten thousand, six hundred seventy-two".