2662000 has 80 divisors (see below), whose sum is σ = 7079904. Its totient is φ = 968000.

The previous prime is 2661991. The next prime is 2662027. The reversal of 2662000 is 2662.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241995 + ... + 242005.

2^2662000 is an apocalyptic number.

2662000 is a gapful number since it is divisible by the number (20) 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 2662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539952).

2662000 is an abundant number, since it is smaller than the sum of its proper divisors (4417904).

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

2662000 is an equidigital number, since it uses as much as digits as its factorization.

2662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2662000 is about 1631.5636671610. The cubic root of 2662000 is about 138.5913154884.

2662000 divided by its sum of digits (16) gives a cube (166375 = 55³).

Adding to 2662000 its reverse (2662), we get a palindrome (2664662).

2662000 divided by its reverse (2662) gives a cube (1000 = 10³).

It can be divided in two parts, 26 and 62000, that added together give a palindrome (62026).

The spelling of 2662000 in words is "two million, six hundred sixty-two thousand".