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2540340 = 22325111283
BaseRepresentation
bin1001101100001100110100
311210001200200
421230030310
51122242330
6130240500
730410145
oct11541464
94701620
102540340
111485660
12a26130
136ac37a
144a1acc
15352a60
hex26c334

2540340 has 72 divisors (see below), whose sum is σ = 8412768. Its totient is φ = 615360.

The previous prime is 2540339. The next prime is 2540341. The reversal of 2540340 is 430452.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2540339) and next prime (2540341).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540341) 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, 1339 + ... + 2621.

It is an arithmetic number, because the mean of its divisors is an integer number (116844).

22540340 is an apocalyptic number.

2540340 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 2540340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206384).

2540340 is an abundant number, since it is smaller than the sum of its proper divisors (5872428).

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

2540340 is a wasteful number, since it uses less digits than its factorization.

2540340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1309 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2540340 is about 1593.8444089685. The cubic root of 2540340 is about 136.4469866188.

Adding to 2540340 its reverse (430452), we get a palindrome (2970792).

The spelling of 2540340 in words is "two million, five hundred forty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1283 1980 2566 3849 5132 6415 7698 11547 12830 14113 15396 19245 23094 25660 28226 38490 42339 46188 56452 57735 70565 76980 84678 115470 127017 141130 169356 211695 230940 254034 282260 423390 508068 635085 846780 1270170 2540340