2142004 has 24 divisors (see below), whose sum is σ = 3954888. Its totient is φ = 1013760.

The previous prime is 2142001. The next prime is 2142029. The reversal of 2142004 is 4002412.

It can be written as a sum of positive squares in 4 ways, for example, as 176400 + 1965604 = 420^2 + 1402^2 .

It is a super-2 number, since 2×2142004² = 9176362272032, which contains 22 as substring.

It is a plaindrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5892 + ... + 6244.

It is an arithmetic number, because the mean of its divisors is an integer number (164787).

2^2142004 is an apocalyptic number.

It is an amenable number.

2142004 is a deficient number, since it is larger than the sum of its proper divisors (1812884).

2142004 is a wasteful number, since it uses less digits than its factorization.

2142004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2142004 is about 1463.5586766509. The cubic root of 2142004 is about 128.9060871268.

Adding to 2142004 its reverse (4002412), we get a palindrome (6144416).

It can be divided in two parts, 21 and 42004, that added together give a square (42025 = 205²).

The spelling of 2142004 in words is "two million, one hundred forty-two thousand, four".