2642712 has 32 divisors (see below), whose sum is σ = 6836400. Its totient is φ = 850304.

The previous prime is 2642707. The next prime is 2642713. The reversal of 2642712 is 2172462.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2⁵ + 6⁸ + 4⁴ + 2¹³ + 7⁷ + 1 + 2¹⁷ .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2642713) 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, 1203 + ... + 2594.

2^2642712 is an apocalyptic number.

It is an amenable number.

2642712 is an abundant number, since it is smaller than the sum of its proper divisors (4193688).

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

2642712 is a wasteful number, since it uses less digits than its factorization.

2642712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3831 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 2642712 is about 1625.6420270158. The cubic root of 2642712 is about 138.2557743327.

The spelling of 2642712 in words is "two million, six hundred forty-two thousand, seven hundred twelve".