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2733012240 = 243572307757
BaseRepresentation
bin1010001011100110…
…0111010100010000
321001110122101222120
42202321213110100
521044122342430
61131105534240
7124504135500
oct24271472420
97043571876
102733012240
111182794602
12643344380
133472a480a
141bcd87a00
1510ee06610
hexa2e67510

2733012240 has 240 divisors, whose sum is σ = 9900741312. Its totient is φ = 621831168.

The previous prime is 2733012199. The next prime is 2733012241. The reversal of 2733012240 is 422103372.

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

It is a super-3 number, since 3×27330122403 (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2733012240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2733012241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3609942 + ... + 3610698.

Almost surely, 22733012240 is an apocalyptic number.

2733012240 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 2733012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950370656).

2733012240 is an abundant number, since it is smaller than the sum of its proper divisors (7167729072).

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

2733012240 is a wasteful number, since it uses less digits than its factorization.

2733012240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 2733012240 is about 52278.2195565228. The cubic root of 2733012240 is about 1398.1288335447.

The spelling of 2733012240 in words is "two billion, seven hundred thirty-three million, twelve thousand, two hundred forty".