2101572 has 96 divisors (see below), whose sum is σ = 6249600. Its totient is φ = 604800.

The previous prime is 2101553. The next prime is 2101607. The reversal of 2101572 is 2751012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34422 + ... + 34482.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

2^2101572 is an apocalyptic number.

2101572 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 2101572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3124800).

2101572 is an abundant number, since it is smaller than the sum of its proper divisors (4148028).

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

2101572 is a wasteful number, since it uses less digits than its factorization.

2101572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 2101572 is about 1449.6799646819. The cubic root of 2101572 is about 128.0898620281.

Adding to 2101572 its reverse (2751012), we get a palindrome (4852584).

The spelling of 2101572 in words is "two million, one hundred one thousand, five hundred seventy-two".