2511648 has 144 divisors (see below), whose sum is σ = 8255520. Its totient is φ = 746496.

The previous prime is 2511643. The next prime is 2511659. The reversal of 2511648 is 8461152.

2511648 is a `hidden beast` number, since 2 + 5 + 11 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2511643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132183 + ... + 132201.

It is an arithmetic number, because the mean of its divisors is an integer number (57330).

2^2511648 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 2511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4127760).

2511648 is an abundant number, since it is smaller than the sum of its proper divisors (5743872).

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

2511648 is a wasteful number, since it uses less digits than its factorization.

2511648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 41 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 2511648 is about 1584.8179706200. The cubic root of 2511648 is about 135.9313378895.

The spelling of 2511648 in words is "two million, five hundred eleven thousand, six hundred forty-eight".