2072240640 has 240 divisors, whose sum is σ = 7316471448. Its totient is φ = 541851648.

The previous prime is 2072240633. The next prime is 2072240659. The reversal of 2072240640 is 460422702.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2066247936 + 5992704 = 45456^2 + 2448^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1220272 + ... + 1221968.

Almost surely, 2^2072240640 is an apocalyptic number.

2072240640 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 2072240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3658235724).

2072240640 is an abundant number, since it is smaller than the sum of its proper divisors (5244230808).

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

2072240640 is a wasteful number, since it uses less digits than its factorization.

2072240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1779 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 2072240640 is about 45521.8699088691. The cubic root of 2072240640 is about 1274.9115694147.

The spelling of 2072240640 in words is "two billion, seventy-two million, two hundred forty thousand, six hundred forty".