2264262000 has 960 divisors, whose sum is σ = 10195061760. Its totient is φ = 419328000.

The previous prime is 2264261969. The next prime is 2264262019. The reversal of 2264262000 is 2624622.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78077986 + ... + 78078014.

It is an arithmetic number, because the mean of its divisors is an integer number (10619856).

Almost surely, 2^2264262000 is an apocalyptic number.

2264262000 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 2264262000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097530880).

2264262000 is an abundant number, since it is smaller than the sum of its proper divisors (7930799760).

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

2264262000 is a wasteful number, since it uses less digits than its factorization.

2264262000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2264262000 is about 47584.2621041873. The cubic root of 2264262000 is about 1313.1335354171.

Adding to 2264262000 its reverse (2624622), we get a palindrome (2266886622).

The spelling of 2264262000 in words is "two billion, two hundred sixty-four million, two hundred sixty-two thousand".