Search a number
-
+
2440502640 = 2432561181307
BaseRepresentation
bin1001000101110111…
…0001110101110000
320022002020101020200
42101131301311300
514444232041030
61042100235200
7114322634022
oct22135616560
96262211220
102440502640
111042666834
1258139bb00
132cb7ca204
141921a4012
15e43c6d60
hex91771d70

2440502640 has 240 divisors, whose sum is σ = 8403691296. Its totient is φ = 634521600.

The previous prime is 2440502611. The next prime is 2440502663. The reversal of 2440502640 is 462050442.

2440502640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7949367 + ... + 7949673.

Almost surely, 22440502640 is an apocalyptic number.

2440502640 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 2440502640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201845648).

2440502640 is an abundant number, since it is smaller than the sum of its proper divisors (5963188656).

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

2440502640 is a wasteful number, since it uses less digits than its factorization.

2440502640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 559 counting only the distinct ones).

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

The square root of 2440502640 is about 49401.4437036004. The cubic root of 2440502640 is about 1346.3555365055.

The spelling of 2440502640 in words is "two billion, four hundred forty million, five hundred two thousand, six hundred forty".