2148640 has 48 divisors (see below), whose sum is σ = 5471928. Its totient is φ = 792576.

The previous prime is 2148631. The next prime is 2148649. The reversal of 2148640 is 468412.

It is an interprime number because it is at equal distance from previous prime (2148631) and next prime (2148649).

It can be written as a sum of positive squares in 4 ways, for example, as 1882384 + 266256 = 1372^2 + 516^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2148649) 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, 1564 + ... + 2596.

2^2148640 is an apocalyptic number.

2148640 is a gapful number since it is divisible by the number (20) 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 2148640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2735964).

2148640 is an abundant number, since it is smaller than the sum of its proper divisors (3323288).

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

2148640 is a wasteful number, since it uses less digits than its factorization.

2148640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 2148640 is about 1465.8240003493. The cubic root of 2148640 is about 129.0390683502.

The spelling of 2148640 in words is "two million, one hundred forty-eight thousand, six hundred forty".