2126952 has 64 divisors (see below), whose sum is σ = 6072000. Its totient is φ = 689472.

The previous prime is 2126951. The next prime is 2126963. The reversal of 2126952 is 2596212.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2126951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9174 + ... + 9402.

It is an arithmetic number, because the mean of its divisors is an integer number (94875).

2^2126952 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 2126952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3036000).

2126952 is an abundant number, since it is smaller than the sum of its proper divisors (3945048).

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

2126952 is a wasteful number, since it uses less digits than its factorization.

2126952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 277 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2126952 is about 1458.4073505026. The cubic root of 2126952 is about 128.6034333024.

It can be divided in two parts, 21269 and 52, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 2126952 in words is "two million, one hundred twenty-six thousand, nine hundred fifty-two".