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2440543040 = 26513412349
BaseRepresentation
bin1001000101110111…
…1011101101000000
320022002022102122222
42101131323231000
514444234334130
61042101150212
7114323162555
oct22135735500
96262272588
102440543040
111042694121
125813bb368
132cb812710
141921b4a2c
15e43d3ce5
hex9177bb40

2440543040 has 168 divisors, whose sum is σ = 6433337400. Its totient is φ = 876625920.

The previous prime is 2440543033. The next prime is 2440543043. The reversal of 2440543040 is 403450442.

2440543040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1940931136 + 499611904 = 44056^2 + 22352^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2440543043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6992786 + ... + 6993134.

It is an arithmetic number, because the mean of its divisors is an integer number (38293675).

Almost surely, 22440543040 is an apocalyptic number.

2440543040 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 2440543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3216668700).

2440543040 is an abundant number, since it is smaller than the sum of its proper divisors (3992794360).

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

2440543040 is a wasteful number, since it uses less digits than its factorization.

2440543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The square root of 2440543040 is about 49401.8525968409. The cubic root of 2440543040 is about 1346.3629656395.

Adding to 2440543040 its reverse (403450442), we get a palindrome (2843993482).

The spelling of 2440543040 in words is "two billion, four hundred forty million, five hundred forty-three thousand, forty".