2241887760 has 320 divisors, whose sum is σ = 9111797760. Its totient is φ = 495797760.

The previous prime is 2241887759. The next prime is 2241887761. The reversal of 2241887760 is 677881422.

It is an interprime number because it is at equal distance from previous prime (2241887759) and next prime (2241887761).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2241887761) 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, 466329 + ... + 471111.

It is an arithmetic number, because the mean of its divisors is an integer number (28474368).

Almost surely, 2^2241887760 is an apocalyptic number.

2241887760 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 2241887760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4555898880).

2241887760 is an abundant number, since it is smaller than the sum of its proper divisors (6869910000).

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

2241887760 is a wasteful number, since it uses less digits than its factorization.

2241887760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4831 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2241887760 is about 47348.5771697524. The cubic root of 2241887760 is about 1308.7939796881.

The spelling of 2241887760 in words is "two billion, two hundred forty-one million, eight hundred eighty-seven thousand, seven hundred sixty".