2145624 has 72 divisors (see below), whose sum is σ = 6071940. Its totient is φ = 631488.

The previous prime is 2145617. The next prime is 2145629. The reversal of 2145624 is 4265412.

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

It is a junction number, because it is equal to n+sod(n) for n = 2145594 and 2145603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2145629) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 93277 + ... + 93299.

2^2145624 is an apocalyptic number.

2145624 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 2145624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035970).

2145624 is an abundant number, since it is smaller than the sum of its proper divisors (3926316).

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

2145624 is a wasteful number, since it uses less digits than its factorization.

2145624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

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

The square root of 2145624 is about 1464.7948661843. The cubic root of 2145624 is about 128.9786636186.

Multiplying 2145624 by its sum of digits (24), we get a square (51494976 = 7176²).

2145624 divided by its sum of digits (24) gives a square (89401 = 299²).

The spelling of 2145624 in words is "two million, one hundred forty-five thousand, six hundred twenty-four".