2970624 has 44 divisors (see below), whose sum is σ = 7925984. Its totient is φ = 989184.

The previous prime is 2970601. The next prime is 2970629. The reversal of 2970624 is 4260792.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2970591 and 2970600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2970629) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2589 + ... + 3555.

It is an arithmetic number, because the mean of its divisors is an integer number (180136).

2^2970624 is an apocalyptic number.

2970624 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 2970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3962992).

2970624 is an abundant number, since it is smaller than the sum of its proper divisors (4955360).

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

2970624 is an equidigital number, since it uses as much as digits as its factorization.

2970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2970624 is about 1723.5498252154. The cubic root of 2970624 is about 143.7526618285.

The spelling of 2970624 in words is "two million, nine hundred seventy thousand, six hundred twenty-four".