2280217440 has 96 divisors (see below), whose sum is σ = 7237714176. Its totient is φ = 603399680.

The previous prime is 2280217397. The next prime is 2280217441. The reversal of 2280217440 is 447120822.

2280217440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2280217398 and 2280217407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2280217441) 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, 44749 + ... + 81011.

It is an arithmetic number, because the mean of its divisors is an integer number (75392856).

Almost surely, 2^2280217440 is an apocalyptic number.

2280217440 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 2280217440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618857088).

2280217440 is an abundant number, since it is smaller than the sum of its proper divisors (4957496736).

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

2280217440 is a wasteful number, since it uses less digits than its factorization.

2280217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36412 (or 36404 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2280217440 is about 47751.6223808155. The cubic root of 2280217440 is about 1316.2107120340.

The spelling of 2280217440 in words is "two billion, two hundred eighty million, two hundred seventeen thousand, four hundred forty".