2934624 has 96 divisors (see below), whose sum is σ = 9628416. Its totient is φ = 760320.

The previous prime is 2934623. The next prime is 2934629. The reversal of 2934624 is 4264392.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2934624² = 17224036042752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2934591 and 2934600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2934623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7194 + ... + 7590.

It is an arithmetic number, because the mean of its divisors is an integer number (100296).

2^2934624 is an apocalyptic number.

2934624 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 2934624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814208).

2934624 is an abundant number, since it is smaller than the sum of its proper divisors (6693792).

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

2934624 is a wasteful number, since it uses less digits than its factorization.

2934624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 2934624 is about 1713.0744292062. The cubic root of 2934624 is about 143.1696033190.

The spelling of 2934624 in words is "two million, nine hundred thirty-four thousand, six hundred twenty-four".