2718672 has 80 divisors (see below), whose sum is σ = 8094720. Its totient is φ = 777600.

The previous prime is 2718671. The next prime is 2718673. The reversal of 2718672 is 2768172.

It is an interprime number because it is at equal distance from previous prime (2718671) and next prime (2718673).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2718671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897 + ... + 10167.

It is an arithmetic number, because the mean of its divisors is an integer number (101184).

2^2718672 is an apocalyptic number.

2718672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2718672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047360).

2718672 is an abundant number, since it is smaller than the sum of its proper divisors (5376048).

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

2718672 is a wasteful number, since it uses less digits than its factorization.

2718672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its digits is 9408, while the sum is 33.

The square root of 2718672 is about 1648.8395919555. The cubic root of 2718672 is about 139.5679195474.

The spelling of 2718672 in words is "two million, seven hundred eighteen thousand, six hundred seventy-two".