2400000 has 108 divisors (see below), whose sum is σ = 7983864. Its totient is φ = 640000.

The previous prime is 2399993. The next prime is 2400001. The reversal of 2400000 is 42.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2400001) 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, 479998 + ... + 480002.

2^2400000 is an apocalyptic number.

2400000 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 2400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991932).

2400000 is an abundant number, since it is smaller than the sum of its proper divisors (5583864).

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

2400000 is an frugal number, since it uses more digits than its factorization.

2400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 6.

The square root of 2400000 is about 1549.1933384830. The cubic root of 2400000 is about 133.8865900164.

Adding to 2400000 its reverse (42), we get a palindrome (2400042).

The spelling of 2400000 in words is "two million, four hundred thousand".