2240544768 has 304 divisors, whose sum is σ = 7650395904. Its totient is φ = 566231040.

The previous prime is 2240544749. The next prime is 2240544773. The reversal of 2240544768 is 8674450422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60555246 + ... + 60555282.

It is an arithmetic number, because the mean of its divisors is an integer number (25165776).

Almost surely, 2^2240544768 is an apocalyptic number.

2240544768 is a gapful number since it is divisible by the number (28) 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 2240544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825197952).

2240544768 is an abundant number, since it is smaller than the sum of its proper divisors (5409851136).

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

2240544768 is an frugal number, since it uses more digits than its factorization.

2240544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 42.

The square root of 2240544768 is about 47334.3930773386. The cubic root of 2240544768 is about 1308.5325852548.

It can be divided in two parts, 224054 and 4768, that added together give a palindrome (228822).

The spelling of 2240544768 in words is "two billion, two hundred forty million, five hundred forty-four thousand, seven hundred sixty-eight".