2261664000 has 216 divisors, whose sum is σ = 8139163032. Its totient is φ = 603033600.

The previous prime is 2261663983. The next prime is 2261664001. The reversal of 2261664000 is 4661622.

It is a happy number.

2261664000 is a `hidden beast` number, since 2 + 2 + 6 + 16 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 585252864 + 1676411136 = 24192^2 + 40944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261664001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284074 + ... + 291926.

Almost surely, 2^2261664000 is an apocalyptic number.

2261664000 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 2261664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069581516).

2261664000 is an abundant number, since it is smaller than the sum of its proper divisors (5877499032).

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

2261664000 is an equidigital number, since it uses as much as digits as its factorization.

2261664000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7890 (or 7863 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2261664000 is about 47556.9553272705. The cubic root of 2261664000 is about 1312.6311161530.

The spelling of 2261664000 in words is "two billion, two hundred sixty-one million, six hundred sixty-four thousand".