2240743760 has 80 divisors (see below), whose sum is σ = 5404517184. Its totient is φ = 863364096.

The previous prime is 2240743727. The next prime is 2240743763. The reversal of 2240743760 is 673470422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2240743760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240743763) 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, 246659 + ... + 255581.

Almost surely, 2^2240743760 is an apocalyptic number.

2240743760 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 2240743760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2702258592).

2240743760 is an abundant number, since it is smaller than the sum of its proper divisors (3163773424).

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

2240743760 is a wasteful number, since it uses less digits than its factorization.

2240743760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9052 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 35.

The square root of 2240743760 is about 47336.4950117771. The cubic root of 2240743760 is about 1308.5713228290.

The spelling of 2240743760 in words is "two billion, two hundred forty million, seven hundred forty-three thousand, seven hundred sixty".