2110248072 has 128 divisors (see below), whose sum is σ = 6209280000. Its totient is φ = 662188608.

The previous prime is 2110248071. The next prime is 2110248109. The reversal of 2110248072 is 2708420112.

2110248072 is a `hidden beast` number, since 2 + 110 + 2 + 480 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2110248071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 683829 + ... + 686907.

It is an arithmetic number, because the mean of its divisors is an integer number (48510000).

Almost surely, 2^2110248072 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 2110248072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640000).

2110248072 is an abundant number, since it is smaller than the sum of its proper divisors (4099031928).

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

2110248072 is a wasteful number, since it uses less digits than its factorization.

2110248072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 2110248072 is about 45937.4364979153. The cubic root of 2110248072 is about 1282.6588757043.

Adding to 2110248072 its reverse (2708420112), we get a palindrome (4818668184).

The spelling of 2110248072 in words is "two billion, one hundred ten million, two hundred forty-eight thousand, seventy-two".