2418000 has 160 divisors (see below), whose sum is σ = 8666112. Its totient is φ = 576000.

The previous prime is 2417999. The next prime is 2418001. The reversal of 2418000 is 8142.

It is an interprime number because it is at equal distance from previous prime (2417999) and next prime (2418001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2418001) 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, 77985 + ... + 78015.

2^2418000 is an apocalyptic number.

2418000 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 2418000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333056).

2418000 is an abundant number, since it is smaller than the sum of its proper divisors (6248112).

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

2418000 is a wasteful number, since it uses less digits than its factorization.

2418000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2418000 is about 1554.9919613940. The cubic root of 2418000 is about 134.2204731696.

The spelling of 2418000 in words is "two million, four hundred eighteen thousand".