2709268224 has 144 divisors (see below), whose sum is σ = 7855092000. Its totient is φ = 823984128.

The previous prime is 2709268207. The next prime is 2709268229. The reversal of 2709268224 is 4228629072.

It is a happy number.

It is a super-2 number, since 2×2709268224² = 14680268619152228352, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2709268229) 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, 887052 + ... + 890100.

It is an arithmetic number, because the mean of its divisors is an integer number (54549250).

Almost surely, 2^2709268224 is an apocalyptic number.

2709268224 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 2709268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3927546000).

2709268224 is an abundant number, since it is smaller than the sum of its proper divisors (5145823776).

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

2709268224 is a wasteful number, since it uses less digits than its factorization.

2709268224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3170 (or 3156 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 2709268224 is about 52050.6313506378. The cubic root of 2709268224 is about 1394.0681373036.

The spelling of 2709268224 in words is "two billion, seven hundred nine million, two hundred sixty-eight thousand, two hundred twenty-four".