2642472 has 96 divisors (see below), whose sum is σ = 8424000. Its totient is φ = 747936.

The previous prime is 2642449. The next prime is 2642473. The reversal of 2642472 is 2742462.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2642473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24643 + ... + 24749.

It is an arithmetic number, because the mean of its divisors is an integer number (87750).

2^2642472 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 2642472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212000).

2642472 is an abundant number, since it is smaller than the sum of its proper divisors (5781528).

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

2642472 is a wasteful number, since it uses less digits than its factorization.

2642472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 119 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 2642472 is about 1625.5682083505. The cubic root of 2642472 is about 138.2515889365.

The spelling of 2642472 in words is "two million, six hundred forty-two thousand, four hundred seventy-two".