2634912 has 72 divisors (see below), whose sum is σ = 8570016. Its totient is φ = 752256.

The previous prime is 2634893. The next prime is 2634923. The reversal of 2634912 is 2194362.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2634912² = 13885522495488, which contains 22 as substring.

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

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 11 ways as a sum of consecutive naturals, for example, 1363 + ... + 2669.

It is an arithmetic number, because the mean of its divisors is an integer number (119028).

2^2634912 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 2634912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4285008).

2634912 is an abundant number, since it is smaller than the sum of its proper divisors (5935104).

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

2634912 is a wasteful number, since it uses less digits than its factorization.

2634912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1319 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 2634912 is about 1623.2412020399. The cubic root of 2634912 is about 138.1196190310.

The spelling of 2634912 in words is "two million, six hundred thirty-four thousand, nine hundred twelve".