2142672 has 60 divisors (see below), whose sum is σ = 6446016. Its totient is φ = 611520.

The previous prime is 2142667. The next prime is 2142677. The reversal of 2142672 is 2762412.

It is an interprime number because it is at equal distance from previous prime (2142667) and next prime (2142677).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2¹² + 1 + 4⁶ + 2¹⁸ + 6³ + 7⁷ + 2²⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142677) 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, 1897 + ... + 2807.

2^2142672 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 2142672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3223008).

2142672 is an abundant number, since it is smaller than the sum of its proper divisors (4303344).

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

2142672 is a wasteful number, since it uses less digits than its factorization.

2142672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 923 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2142672 is about 1463.7868697321. The cubic root of 2142672 is about 128.9194858439.

The spelling of 2142672 in words is "two million, one hundred forty-two thousand, six hundred seventy-two".