2138624 has 20 divisors (see below), whose sum is σ = 4274094. Its totient is φ = 1069056.

The previous prime is 2138623. The next prime is 2138629. The reversal of 2138624 is 4268312.

It can be written as a sum of positive squares in only one way, i.e., 1364224 + 774400 = 1168^2 + 880^2 .

It is a super-2 number, since 2×2138624² = 9147425226752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2138593 and 2138602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138623) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1577 + ... + 2600.

2^2138624 is an apocalyptic number.

It is an amenable number.

2138624 is a deficient number, since it is larger than the sum of its proper divisors (2135470).

2138624 is an frugal number, since it uses more digits than its factorization.

2138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4195 (or 4179 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2138624 is about 1462.4035010899. The cubic root of 2138624 is about 128.8382484814.

The spelling of 2138624 in words is "two million, one hundred thirty-eight thousand, six hundred twenty-four".