2142744 has 64 divisors (see below), whose sum is σ = 5836800. Its totient is φ = 653184.

The previous prime is 2142743. The next prime is 2142761. The reversal of 2142744 is 4472412.

2142744 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a d-powerful number, because it can be written as 2⁵ + 1 + 4⁴ + 2¹³ + 7⁷ + 4⁹ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142743) 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 15 ways as a sum of consecutive naturals, for example, 16809 + ... + 16935.

It is an arithmetic number, because the mean of its divisors is an integer number (91200).

2^2142744 is an apocalyptic number.

2142744 is a gapful number since it is divisible by the number (24) 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 2142744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2918400).

2142744 is an abundant number, since it is smaller than the sum of its proper divisors (3694056).

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

2142744 is a wasteful number, since it uses less digits than its factorization.

2142744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 188 counting only the distinct ones).

The product of its digits is 1792, while the sum is 24.

The square root of 2142744 is about 1463.8114632698. The cubic root of 2142744 is about 128.9209298507.

The spelling of 2142744 in words is "two million, one hundred forty-two thousand, seven hundred forty-four".