2106415272 has 64 divisors (see below), whose sum is σ = 5679797760. Its totient is φ = 647136000.

The previous prime is 2106415177. The next prime is 2106415307. The reversal of 2106415272 is 2725146012.

It is a super-2 number, since 2×2106415272² = 8873970596229667968, which contains 22 as substring.

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, 213897 + ... + 223527.

It is an arithmetic number, because the mean of its divisors is an integer number (88746840).

Almost surely, 2^2106415272 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 2106415272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839898880).

2106415272 is an abundant number, since it is smaller than the sum of its proper divisors (3573382488).

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

2106415272 is a wasteful number, since it uses less digits than its factorization.

2106415272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10354 (or 10350 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 2106415272 is about 45895.6999292962. The cubic root of 2106415272 is about 1281.8818494717.

The spelling of 2106415272 in words is "two billion, one hundred six million, four hundred fifteen thousand, two hundred seventy-two".