2642064 has 40 divisors (see below), whose sum is σ = 7187040. Its totient is φ = 834048.

The previous prime is 2642063. The next prime is 2642077. The reversal of 2642064 is 4602462.

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 2⁹ + 6⁴ + 4⁵ + 2²¹ + 0 + 6⁷ + 4⁹ .

It is not an unprimeable number, because it can be changed into a prime (2642063) 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, 537 + ... + 2360.

It is an arithmetic number, because the mean of its divisors is an integer number (179676).

2^2642064 is an apocalyptic number.

2642064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2642064 is an abundant number, since it is smaller than the sum of its proper divisors (4544976).

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

2642064 is a wasteful number, since it uses less digits than its factorization.

2642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2927 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2642064 is about 1625.4427089258. The cubic root of 2642064 is about 138.2444731813.

The spelling of 2642064 in words is "two million, six hundred forty-two thousand, sixty-four".