2842624 has 28 divisors (see below), whose sum is σ = 5701284. Its totient is φ = 1417216.

The previous prime is 2842603. The next prime is 2842643. The reversal of 2842624 is 4262482.

It is a super-2 number, since 2×2842624² = 16161022410752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2842592 and 2842601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8019 + ... + 8365.

2^2842624 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 2842624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2850642).

2842624 is an abundant number, since it is smaller than the sum of its proper divisors (2858660).

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

2842624 is an frugal number, since it uses more digits than its factorization.

2842624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 349 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 2842624 is about 1686.0083036569. The cubic root of 2842624 is about 141.6575760411.

Subtracting from 2842624 its sum of digits (28), we obtain a square (2842596 = 1686²).

The spelling of 2842624 in words is "two million, eight hundred forty-two thousand, six hundred twenty-four".