2284251240 has 256 divisors, whose sum is σ = 7605861120. Its totient is φ = 546324480.

The previous prime is 2284251239. The next prime is 2284251241. The reversal of 2284251240 is 421524822.

It is an interprime number because it is at equal distance from previous prime (2284251239) and next prime (2284251241).

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 = 2284251198 and 2284251207.

It is not an unprimeable number, because it can be changed into a prime (2284251241) 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, 4000155 + ... + 4000725.

It is an arithmetic number, because the mean of its divisors is an integer number (29710395).

Almost surely, 2^2284251240 is an apocalyptic number.

2284251240 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 2284251240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802930560).

2284251240 is an abundant number, since it is smaller than the sum of its proper divisors (5321609880).

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

2284251240 is a wasteful number, since it uses less digits than its factorization.

2284251240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 2284251240 is about 47793.8410258058. The cubic root of 2284251240 is about 1316.9863987355.

The spelling of 2284251240 in words is "two billion, two hundred eighty-four million, two hundred fifty-one thousand, two hundred forty".