2282744940 has 192 divisors, whose sum is σ = 7738343424. Its totient is φ = 491496192.

The previous prime is 2282744929. The next prime is 2282744951. The reversal of 2282744940 is 494472822.

It is an interprime number because it is at equal distance from previous prime (2282744929) and next prime (2282744951).

It is a super-2 number, since 2×2282744940² = 10421848922191207200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2282744892 and 2282744901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 645457 + ... + 648983.

It is an arithmetic number, because the mean of its divisors is an integer number (40303872).

Almost surely, 2^2282744940 is an apocalyptic number.

2282744940 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 2282744940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869171712).

2282744940 is an abundant number, since it is smaller than the sum of its proper divisors (5455598484).

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

2282744940 is a wasteful number, since it uses less digits than its factorization.

2282744940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3636 (or 3634 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 2282744940 is about 47778.0801204904. The cubic root of 2282744940 is about 1316.6968490295.

The spelling of 2282744940 in words is "two billion, two hundred eighty-two million, seven hundred forty-four thousand, nine hundred forty".