2631042 has 40 divisors (see below), whose sum is σ = 5989500. Its totient is φ = 863136.

The previous prime is 2631037. The next prime is 2631043. The reversal of 2631042 is 2401362.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2595321 + 35721 = 1611^2 + 189^2 .

It is a super-3 number, since 3×2631042³ = 54639233391627978264, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2⁷ + 6⁴ + 3¹² + 1 + 0 + 4⁵ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (2631043) 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 19 ways as a sum of consecutive naturals, for example, 17584 + ... + 17732.

2^2631042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2631042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994750).

2631042 is an abundant number, since it is smaller than the sum of its proper divisors (3358458).

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

2631042 is a wasteful number, since it uses less digits than its factorization.

2631042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2631042 is about 1622.0487045709. The cubic root of 2631042 is about 138.0519653066.

The spelling of 2631042 in words is "two million, six hundred thirty-one thousand, forty-two".