2400090 has 64 divisors (see below), whose sum is σ = 7188480. Its totient is φ = 498240.

The previous prime is 2400089. The next prime is 2400107. The reversal of 2400090 is 900042.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1791 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (112320).

2^2400090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594240).

2400090 is an abundant number, since it is smaller than the sum of its proper divisors (4788390).

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

2400090 is a wasteful number, since it uses less digits than its factorization.

2400090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2400090 is about 1549.2223855857. Note that the first 3 decimals coincide. The cubic root of 2400090 is about 133.8882635779. Note that the first 3 decimals are identical.

It can be divided in two parts, 24000 and 90, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 2400090 in words is "two million, four hundred thousand, ninety".