2002132272 has 160 divisors (see below), whose sum is σ = 6143606784. Its totient is φ = 549792000.

The previous prime is 2002132243. The next prime is 2002132291. The reversal of 2002132272 is 2722312002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1738897 + ... + 1740047.

Almost surely, 2^2002132272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002132272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071803392).

2002132272 is an abundant number, since it is smaller than the sum of its proper divisors (4141474512).

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

2002132272 is a wasteful number, since it uses less digits than its factorization.

2002132272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2002132272 is about 44745.1927250291. The cubic root of 2002132272 is about 1260.3686399314.

Adding to 2002132272 its reverse (2722312002), we get a palindrome (4724444274).

The spelling of 2002132272 in words is "two billion, two million, one hundred thirty-two thousand, two hundred seventy-two".