2259648000 has 240 divisors, whose sum is σ = 8140903056. Its totient is φ = 602419200.

The previous prime is 2259647989. The next prime is 2259648011. The reversal of 2259648000 is 8469522.

It is a happy number.

2259648000 is a `hidden beast` number, since 2 + 2 + 5 + 9 + 648 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2259647989) and next prime (2259648011).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 574039 + ... + 577961.

Almost surely, 2^2259648000 is an apocalyptic number.

2259648000 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 2259648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070451528).

2259648000 is an abundant number, since it is smaller than the sum of its proper divisors (5881255056).

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

2259648000 is an equidigital number, since it uses as much as digits as its factorization.

2259648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3962 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2259648000 is about 47535.7549640268. The cubic root of 2259648000 is about 1312.2409829009.

The spelling of 2259648000 in words is "two billion, two hundred fifty-nine million, six hundred forty-eight thousand".