2262624000 has 864 divisors, whose sum is σ = 9669231936. Its totient is φ = 464486400.

The previous prime is 2262623989. The next prime is 2262624031. The reversal of 2262624000 is 4262622.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61151982 + ... + 61152018.

Almost surely, 2^2262624000 is an apocalyptic number.

2262624000 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 2262624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834615968).

2262624000 is an abundant number, since it is smaller than the sum of its proper divisors (7406607936).

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

2262624000 is a wasteful number, since it uses less digits than its factorization.

2262624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

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

The square root of 2262624000 is about 47567.0474173035. The cubic root of 2262624000 is about 1312.8168124103.

Adding to 2262624000 its reverse (4262622), we get a palindrome (2266886622).

The spelling of 2262624000 in words is "two billion, two hundred sixty-two million, six hundred twenty-four thousand".