2005002472 has 64 divisors (see below), whose sum is σ = 4225478400. Its totient is φ = 883895040.

The previous prime is 2005002463. The next prime is 2005002499. The reversal of 2005002472 is 2742005002.

It is a super-2 number, since 2×2005002472² = 8040069825452221568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1265793 + ... + 1267375.

It is an arithmetic number, because the mean of its divisors is an integer number (66023100).

Almost surely, 2^2005002472 is an apocalyptic number.

2005002472 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 2005002472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112739200).

2005002472 is an abundant number, since it is smaller than the sum of its proper divisors (2220475928).

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

2005002472 is a wasteful number, since it uses less digits than its factorization.

2005002472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2005002472 is about 44777.2539577853. The cubic root of 2005002472 is about 1260.9706285950.

Adding to 2005002472 its reverse (2742005002), we get a palindrome (4747007474).

The spelling of 2005002472 in words is "two billion, five million, two thousand, four hundred seventy-two".