2245781664 has 288 divisors, whose sum is σ = 7547904000. Its totient is φ = 620186112.

The previous prime is 2245781633. The next prime is 2245781669. The reversal of 2245781664 is 4661875422.

2245781664 is a `hidden beast` number, since 2 + 2 + 4 + 578 + 16 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (2245781669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9396457 + ... + 9396695.

It is an arithmetic number, because the mean of its divisors is an integer number (26208000).

Almost surely, 2^2245781664 is an apocalyptic number.

2245781664 is a gapful number since it is divisible by the number (24) 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 2245781664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952000).

2245781664 is an abundant number, since it is smaller than the sum of its proper divisors (5302122336).

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

2245781664 is a wasteful number, since it uses less digits than its factorization.

2245781664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 389 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 2245781664 is about 47389.6788763123. The cubic root of 2245781664 is about 1309.5512834914.

The spelling of 2245781664 in words is "two billion, two hundred forty-five million, seven hundred eighty-one thousand, six hundred sixty-four".