2511642 has 24 divisors (see below), whose sum is σ = 5844096. Its totient is φ = 717528.

The previous prime is 2511637. The next prime is 2511643. The reversal of 2511642 is 2461152.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 11 ways as a sum of consecutive naturals, for example, 3978 + ... + 4565.

It is an arithmetic number, because the mean of its divisors is an integer number (243504).

2^2511642 is an apocalyptic number.

2511642 is an abundant number, since it is smaller than the sum of its proper divisors (3332454).

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

2511642 is a wasteful number, since it uses less digits than its factorization.

2511642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8562 (or 8555 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 2511642 is about 1584.8160776570. The cubic root of 2511642 is about 135.9312296487.

Adding to 2511642 its reverse (2461152), we get a palindrome (4972794).

The spelling of 2511642 in words is "two million, five hundred eleven thousand, six hundred forty-two".