2262582720 has 448 divisors, whose sum is σ = 8367857280. Its totient is φ = 582266880.

The previous prime is 2262582701. The next prime is 2262582727. The reversal of 2262582720 is 272852622.

2262582720 is a `hidden beast` number, since 2 + 2 + 6 + 2 + 582 + 72 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2262582727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37091490 + ... + 37091550.

Almost surely, 2^2262582720 is an apocalyptic number.

2262582720 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 2262582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4183928640).

2262582720 is an abundant number, since it is smaller than the sum of its proper divisors (6105274560).

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

2262582720 is an frugal number, since it uses more digits than its factorization.

2262582720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2262582720 is about 47566.6135014886. The cubic root of 2262582720 is about 1312.8088285521.

The spelling of 2262582720 in words is "two billion, two hundred sixty-two million, five hundred eighty-two thousand, seven hundred twenty".