2240568720 has 240 divisors, whose sum is σ = 8580669552. Its totient is φ = 519045120.

The previous prime is 2240568689. The next prime is 2240568721. The reversal of 2240568720 is 278650422.

2240568720 is a `hidden beast` number, since 2 + 24 + 0 + 568 + 72 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 8573184 + 2231995536 = 2928^2 + 47244^2 .

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

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 not an unprimeable number, because it can be changed into a prime (2240568721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152080 + ... + 166160.

Almost surely, 2^2240568720 is an apocalyptic number.

2240568720 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 2240568720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290334776).

2240568720 is an abundant number, since it is smaller than the sum of its proper divisors (6340100832).

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

2240568720 is a wasteful number, since it uses less digits than its factorization.

2240568720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14130 (or 14121 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2240568720 is about 47334.6460850823. The cubic root of 2240568720 is about 1308.5372480881.

It can be divided in two parts, 22405 and 68720, that added together give a cube (91125 = 45³).

The spelling of 2240568720 in words is "two billion, two hundred forty million, five hundred sixty-eight thousand, seven hundred twenty".