2679534 has 64 divisors (see below), whose sum is σ = 7015680. Its totient is φ = 747360.

The previous prime is 2679533. The next prime is 2679541. The reversal of 2679534 is 4359762.

It is a d-powerful number, because it can be written as 2¹⁵ + 6 + 7 + 9³ + 5⁵ + 3¹³ + 4¹⁰ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2679533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7549 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (109620).

2^2679534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2679534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3507840).

2679534 is an abundant number, since it is smaller than the sum of its proper divisors (4336146).

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

2679534 is a wasteful number, since it uses less digits than its factorization.

2679534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 376 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2679534 is about 1636.9282207843. The cubic root of 2679534 is about 138.8949398490.

It can be divided in two parts, 2679 and 534, that multiplied together give a triangular number (1430586 = T₁₆₉₁).

The spelling of 2679534 in words is "two million, six hundred seventy-nine thousand, five hundred thirty-four".