2718972 has 18 divisors (see below), whose sum is σ = 6873048. Its totient is φ = 906312.

The previous prime is 2718971. The next prime is 2718973. The reversal of 2718972 is 2798172.

It is an interprime number because it is at equal distance from previous prime (2718971) and next prime (2718973).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) 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 (36), and also a Moran number because the ratio is a prime number: 75527 = 2718972 / (2 + 7 + 1 + 8 + 9 + 7 + 2).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2718971) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37728 + ... + 37799.

It is an arithmetic number, because the mean of its divisors is an integer number (381836).

2^2718972 is an apocalyptic number.

It is an amenable number.

2718972 is an abundant number, since it is smaller than the sum of its proper divisors (4154076).

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

2718972 is a wasteful number, since it uses less digits than its factorization.

2718972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75537 (or 75532 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 2718972 is about 1648.9305625162. The cubic root of 2718972 is about 139.5730530386.

It can be divided in two parts, 27189 and 72, that added together give a triangular number (27261 = T₂₃₃).

The spelling of 2718972 in words is "two million, seven hundred eighteen thousand, nine hundred seventy-two".