2127648 has 48 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 688896.

The previous prime is 2127647. The next prime is 2127649. The reversal of 2127648 is 8467212.

It is an interprime number because it is at equal distance from previous prime (2127647) and next prime (2127649).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (2127641) 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, 3253 + ... + 3851.

It is an arithmetic number, because the mean of its divisors is an integer number (119700).

2^2127648 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 2127648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

2127648 is an abundant number, since it is smaller than the sum of its proper divisors (3617952).

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

2127648 is a wasteful number, since it uses less digits than its factorization.

2127648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 641 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 2127648 is about 1458.6459474458. The cubic root of 2127648 is about 128.6174593560.

It can be divided in two parts, 2127 and 648, that added together give a triangular number (2775 = T₇₄).

The spelling of 2127648 in words is "two million, one hundred twenty-seven thousand, six hundred forty-eight".