2361408 has 84 divisors (see below), whose sum is σ = 7296912. Its totient is φ = 672000.

The previous prime is 2361407. The next prime is 2361413. The reversal of 2361408 is 8041632.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 2¹¹ + 3³ + 6² + 1 + 4⁹ + 0 + 8⁷ .

It is not an unprimeable number, because it can be changed into a prime (2361407) 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, 9283 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

2^2361408 is an apocalyptic number.

2361408 is a gapful number since it is divisible by the number (28) 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 2361408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648456).

2361408 is an abundant number, since it is smaller than the sum of its proper divisors (4935504).

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

2361408 is a wasteful number, since it uses less digits than its factorization.

2361408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2361408 is about 1536.6873462094. The cubic root of 2361408 is about 133.1650766509.

The spelling of 2361408 in words is "two million, three hundred sixty-one thousand, four hundred eight".