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2580122040 = 233527777621
BaseRepresentation
bin1001100111001001…
…1000100110111000
320122210221210001120
42121302120212320
520241002401130
61104004545240
7120636450456
oct23162304670
96583853046
102580122040
111104458971
126000b2220
13321703242
141a69499d6
151017a5910
hex99c989b8

2580122040 has 64 divisors (see below), whose sum is σ = 7768409760. Its totient is φ = 685539840.

The previous prime is 2580122029. The next prime is 2580122057. The reversal of 2580122040 is 402210852.

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 2580122040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5571 + ... + 72050.

Almost surely, 22580122040 is an apocalyptic number.

2580122040 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 2580122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3884204880).

2580122040 is an abundant number, since it is smaller than the sum of its proper divisors (5188287720).

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

2580122040 is a wasteful number, since it uses less digits than its factorization.

2580122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77912 (or 77908 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2580122040 is about 50794.9017126719. The cubic root of 2580122040 is about 1371.5555953153. Note that the first 4 decimals are identical.

Adding to 2580122040 its reverse (402210852), we get a palindrome (2982332892).

The spelling of 2580122040 in words is "two billion, five hundred eighty million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 277 554 831 1108 1385 1662 2216 2770 3324 4155 5540 6648 8310 11080 16620 33240 77621 155242 232863 310484 388105 465726 620968 776210 931452 1164315 1552420 1862904 2328630 3104840 4657260 9314520 21501017 43002034 64503051 86004068 107505085 129006102 172008136 215010170 258012204 322515255 430020340 516024408 645030510 860040680 1290061020 2580122040