2177952 has 72 divisors (see below), whose sum is σ = 6664896. Its totient is φ = 620928.

The previous prime is 2177911. The next prime is 2177957. The reversal of 2177952 is 2597712.

2177952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (8820) is a multiple of the sum of its prime factors (490).

It is not an unprimeable number, because it can be changed into a prime (2177957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4473 + ... + 4935.

It is an arithmetic number, because the mean of its divisors is an integer number (92568).

2^2177952 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 2177952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3332448).

2177952 is an abundant number, since it is smaller than the sum of its proper divisors (4486944).

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

2177952 is a wasteful number, since it uses less digits than its factorization.

2177952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its digits is 8820, while the sum is 33.

The square root of 2177952 is about 1475.7886027477. The cubic root of 2177952 is about 129.6232087684.

The spelling of 2177952 in words is "two million, one hundred seventy-seven thousand, nine hundred fifty-two".