2126160 has 60 divisors (see below), whose sum is σ = 7142772. Its totient is φ = 566784.

The previous prime is 2126153. The next prime is 2126167. The reversal of 2126160 is 616212.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2126153) and next prime (2126167).

It can be written as a sum of positive squares in 2 ways, for example, as 1272384 + 853776 = 1128^2 + 924^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757 + ... + 2196.

2^2126160 is an apocalyptic number.

2126160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2126160 is an abundant number, since it is smaller than the sum of its proper divisors (5016612).

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

2126160 is a wasteful number, since it uses less digits than its factorization.

2126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2972 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2126160 is about 1458.1357961452. The cubic root of 2126160 is about 128.5874688982.

It can be divided in two parts, 21261 and 60, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 2126160 in words is "two million, one hundred twenty-six thousand, one hundred sixty".