2240450640 has 180 divisors, whose sum is σ = 7736434524. Its totient is φ = 581050368.

The previous prime is 2240450633. The next prime is 2240450647. The reversal of 2240450640 is 460540422.

It is an interprime number because it is at equal distance from previous prime (2240450633) and next prime (2240450647).

It can be written as a sum of positive squares in 6 ways, for example, as 731594304 + 1508856336 = 27048^2 + 38844^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240450647) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 984544 + ... + 986816.

Almost surely, 2^2240450640 is an apocalyptic number.

2240450640 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 2240450640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868217262).

2240450640 is an abundant number, since it is smaller than the sum of its proper divisors (5495983884).

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

2240450640 is a wasteful number, since it uses less digits than its factorization.

2240450640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2366 (or 2320 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2240450640 is about 47333.3987792975. The cubic root of 2240450640 is about 1308.5142606518.

The spelling of 2240450640 in words is "two billion, two hundred forty million, four hundred fifty thousand, six hundred forty".