2658672 has 60 divisors (see below), whose sum is σ = 7657000. Its totient is φ = 860544.

The previous prime is 2658671. The next prime is 2658683. The reversal of 2658672 is 2768562.

2658672 is a `hidden beast` number, since 2 + 6 + 586 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁹ + 6² + 5⁵ + 8⁵ + 6⁴ + 7 + 2²¹ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2658671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5079 + ... + 5577.

2^2658672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2658672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3828500).

2658672 is an abundant number, since it is smaller than the sum of its proper divisors (4998328).

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

2658672 is a wasteful number, since it uses less digits than its factorization.

2658672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 541 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2658672 is about 1630.5434676819. The cubic root of 2658672 is about 138.5335363449.

The spelling of 2658672 in words is "two million, six hundred fifty-eight thousand, six hundred seventy-two".