2137648 has 40 divisors (see below), whose sum is σ = 4553280. Its totient is φ = 967680.

The previous prime is 2137637. The next prime is 2137669. The reversal of 2137648 is 8467312.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7753 + ... + 8023.

It is an arithmetic number, because the mean of its divisors is an integer number (113832).

2^2137648 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 2137648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276640).

2137648 is an abundant number, since it is smaller than the sum of its proper divisors (2415632).

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

2137648 is a wasteful number, since it uses less digits than its factorization.

2137648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 319 counting only the distinct ones).

The product of its digits is 8064, while the sum is 31.

The square root of 2137648 is about 1462.0697657773. The cubic root of 2137648 is about 128.8186462723.

The spelling of 2137648 in words is "two million, one hundred thirty-seven thousand, six hundred forty-eight".