2642913 has 36 divisors (see below), whose sum is σ = 4792788. Its totient is φ = 1391040.

The previous prime is 2642897. The next prime is 2642929. The reversal of 2642913 is 3192462.

2642913 is a `hidden beast` number, since 2 + 642 + 9 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (2642897) and next prime (2642929).

It can be written as a sum of positive squares in 2 ways, for example, as 603729 + 2039184 = 777^2 + 1428^2 .

It is not a de Polignac number, because 2642913 - 2⁴ = 2642897 is a prime.

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 4⁵ + 2²¹ + 9³ + 1 + 3⁹ .

2642913 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (2642933) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5503 + ... + 5963.

It is an arithmetic number, because the mean of its divisors is an integer number (133133).

2^2642913 is an apocalyptic number.

It is an amenable number.

2642913 is a deficient number, since it is larger than the sum of its proper divisors (2149875).

2642913 is a wasteful number, since it uses less digits than its factorization.

2642913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 484 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2642913 is about 1625.7038475688. The cubic root of 2642913 is about 138.2592794071.

The spelling of 2642913 in words is "two million, six hundred forty-two thousand, nine hundred thirteen".