2631648 has 48 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 863616.

The previous prime is 2631647. The next prime is 2631649. The reversal of 2631648 is 8461362.

It is an interprime number because it is at equal distance from previous prime (2631647) and next prime (2631649).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2631647) 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, 7411 + ... + 7757.

It is an arithmetic number, because the mean of its divisors is an integer number (146160).

2^2631648 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 2631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2631648 is an abundant number, since it is smaller than the sum of its proper divisors (4384032).

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

2631648 is a wasteful number, since it uses less digits than its factorization.

2631648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 431 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 2631648 is about 1622.2354946185. The cubic root of 2631648 is about 138.0625635244.

The spelling of 2631648 in words is "two million, six hundred thirty-one thousand, six hundred forty-eight".