2245266720 has 72 divisors (see below), whose sum is σ = 7661977596. Its totient is φ = 598737408.

The previous prime is 2245266701. The next prime is 2245266733. The reversal of 2245266720 is 276625422.

It can be written as a sum of positive squares in 2 ways, for example, as 2164482576 + 80784144 = 46524^2 + 8988^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 778167 + ... + 781046.

Almost surely, 2^2245266720 is an apocalyptic number.

2245266720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2245266720 is an abundant number, since it is smaller than the sum of its proper divisors (5416710876).

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

2245266720 is a wasteful number, since it uses less digits than its factorization.

2245266720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1559234 (or 1559223 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 2245266720 is about 47384.2454830717. The cubic root of 2245266720 is about 1309.4511851404.

The spelling of 2245266720 in words is "two billion, two hundred forty-five million, two hundred sixty-six thousand, seven hundred twenty".