2145408 has 64 divisors (see below), whose sum is σ = 5891520. Its totient is φ = 691200.

The previous prime is 2145401. The next prime is 2145421. The reversal of 2145408 is 8045412.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2145401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14133 + ... + 14283.

It is an arithmetic number, because the mean of its divisors is an integer number (92055).

2^2145408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945760).

2145408 is an abundant number, since it is smaller than the sum of its proper divisors (3746112).

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

2145408 is a wasteful number, since it uses less digits than its factorization.

2145408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2145408 is about 1464.7211338682. The cubic root of 2145408 is about 128.9743353787.

The spelling of 2145408 in words is "two million, one hundred forty-five thousand, four hundred eight".