2242582740 has 192 divisors, whose sum is σ = 7197120000. Its totient is φ = 579363840.

The previous prime is 2242582739. The next prime is 2242582757. The reversal of 2242582740 is 472852422.

2242582740 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 582 + 74 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2242582695 and 2242582704.

It is a congruent number.

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, 4405606 + ... + 4406114.

It is an arithmetic number, because the mean of its divisors is an integer number (37485000).

Almost surely, 2^2242582740 is an apocalyptic number.

2242582740 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 2242582740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3598560000).

2242582740 is an abundant number, since it is smaller than the sum of its proper divisors (4954537260).

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

2242582740 is a wasteful number, since it uses less digits than its factorization.

2242582740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 2242582740 is about 47355.9155755646. The cubic root of 2242582740 is about 1308.9292067473.

The spelling of 2242582740 in words is "two billion, two hundred forty-two million, five hundred eighty-two thousand, seven hundred forty".