2282768640 has 216 divisors, whose sum is σ = 8171687160. Its totient is φ = 587661312.

The previous prime is 2282768617. The next prime is 2282768647. The reversal of 2282768640 is 468672822.

It can be written as a sum of positive squares in 4 ways, for example, as 33732864 + 2249035776 = 5808^2 + 47424^2 .

It is a super-2 number, since 2×2282768640² = 10422065327534899200, which contains 22 as substring.

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 (2282768647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 330664 + ... + 337496.

It is an arithmetic number, because the mean of its divisors is an integer number (37831885).

Almost surely, 2^2282768640 is an apocalyptic number.

2282768640 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 2282768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4085843580).

2282768640 is an abundant number, since it is smaller than the sum of its proper divisors (5888918520).

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

2282768640 is a wasteful number, since it uses less digits than its factorization.

2282768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6889 (or 6872 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 2282768640 is about 47778.3281415330. The cubic root of 2282768640 is about 1316.7014057668.

The spelling of 2282768640 in words is "two billion, two hundred eighty-two million, seven hundred sixty-eight thousand, six hundred forty".