2240507640 has 256 divisors, whose sum is σ = 7999488000. Its totient is φ = 491235840.

The previous prime is 2240507629. The next prime is 2240507641. The reversal of 2240507640 is 467050422.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2240507598 and 2240507607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240507641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3619251 + ... + 3619869.

It is an arithmetic number, because the mean of its divisors is an integer number (31248000).

Almost surely, 2^2240507640 is an apocalyptic number.

2240507640 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 2240507640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3999744000).

2240507640 is an abundant number, since it is smaller than the sum of its proper divisors (5758980360).

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

2240507640 is a wasteful number, since it uses less digits than its factorization.

2240507640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 2240507640 is about 47334.0008873114. Note that the first 3 decimals coincide. The cubic root of 2240507640 is about 1308.5253573301.

The spelling of 2240507640 in words is "two billion, two hundred forty million, five hundred seven thousand, six hundred forty".