2145264 has 80 divisors (see below), whose sum is σ = 6428160. Its totient is φ = 609280.

The previous prime is 2145263. The next prime is 2145277. The reversal of 2145264 is 4625412.

2145264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8857 + ... + 9095.

It is an arithmetic number, because the mean of its divisors is an integer number (80352).

2^2145264 is an apocalyptic number.

2145264 is a gapful number since it is divisible by the number (24) 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 2145264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214080).

2145264 is an abundant number, since it is smaller than the sum of its proper divisors (4282896).

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

2145264 is a wasteful number, since it uses less digits than its factorization.

2145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 2145264 is about 1464.6719769286. The cubic root of 2145264 is about 128.9714497240.

The spelling of 2145264 in words is "two million, one hundred forty-five thousand, two hundred sixty-four".