2634144 has 48 divisors (see below), whose sum is σ = 7221312. Its totient is φ = 839168.

The previous prime is 2634139. The next prime is 2634161. The reversal of 2634144 is 4414362.

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

It is a super-2 number, since 2×2634144² = 13877429225472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 7 ways as a sum of consecutive naturals, for example, 1612 + ... + 2804.

It is an arithmetic number, because the mean of its divisors is an integer number (150444).

2^2634144 is an apocalyptic number.

2634144 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 2634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3610656).

2634144 is an abundant number, since it is smaller than the sum of its proper divisors (4587168).

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

2634144 is a wasteful number, since it uses less digits than its factorization.

2634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1229 (or 1221 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2634144 is about 1623.0046210655. The cubic root of 2634144 is about 138.1061984468.

The spelling of 2634144 in words is "two million, six hundred thirty-four thousand, one hundred forty-four".