2240024760 has 256 divisors, whose sum is σ = 7917696000. Its totient is φ = 561738240.

The previous prime is 2240024749. The next prime is 2240024767. The reversal of 2240024760 is 674200422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240024767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3549645 + ... + 3550275.

It is an arithmetic number, because the mean of its divisors is an integer number (30928500).

Almost surely, 2^2240024760 is an apocalyptic number.

2240024760 is a gapful number since it is divisible by the number (20) 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 2240024760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3958848000).

2240024760 is an abundant number, since it is smaller than the sum of its proper divisors (5677671240).

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

2240024760 is a wasteful number, since it uses less digits than its factorization.

2240024760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2240024760 is about 47328.8998393159. The cubic root of 2240024760 is about 1308.4313449864.

The spelling of 2240024760 in words is "two billion, two hundred forty million, twenty-four thousand, seven hundred sixty".