2142624 has 48 divisors (see below), whose sum is σ = 6138720. Its totient is φ = 648960.

The previous prime is 2142601. The next prime is 2142641. The reversal of 2142624 is 4262412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2142624.

It is an unprimeable number.

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, 42 + ... + 2070.

It is an arithmetic number, because the mean of its divisors is an integer number (127890).

2^2142624 is an apocalyptic number.

2142624 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 2142624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069360).

2142624 is an abundant number, since it is smaller than the sum of its proper divisors (3996096).

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

2142624 is a wasteful number, since it uses less digits than its factorization.

2142624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2045 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 2142624 is about 1463.7704738107. The cubic root of 2142624 is about 128.9185231547.

The spelling of 2142624 in words is "two million, one hundred forty-two thousand, six hundred twenty-four".