2138752 has 96 divisors (see below), whose sum is σ = 5581440. Its totient is φ = 806400.

The previous prime is 2138749. The next prime is 2138789. The reversal of 2138752 is 2578312.

It is a Harshad number since it is a multiple of its sum of digits (28).

Its product of digits (3360) is a multiple of the sum of its prime factors (70).

It is a self number, because there is not a number n which added to its sum of digits gives 2138752.

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 11 ways as a sum of consecutive naturals, for example, 68977 + ... + 69007.

It is an arithmetic number, because the mean of its divisors is an integer number (58140).

2^2138752 is an apocalyptic number.

2138752 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 2138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2790720).

2138752 is an abundant number, since it is smaller than the sum of its proper divisors (3442688).

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

2138752 is a wasteful number, since it uses less digits than its factorization.

2138752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 51 counting only the distinct ones).

The product of its digits is 3360, while the sum is 28.

The square root of 2138752 is about 1462.4472640065. The cubic root of 2138752 is about 128.8408188205.

The spelling of 2138752 in words is "two million, one hundred thirty-eight thousand, seven hundred fifty-two".