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2125441240 = 2351335311579
BaseRepresentation
bin111111010101111…
…1010100011011000
312111010101121020221
41332223322203120
513323103104430
6550523325424
7103445644456
oct17653724330
95433347227
102125441240
119a083550a
124b3980874
1327b457b50
141623cd9d6
15c68e057a
hex7eafa8d8

2125441240 has 64 divisors (see below), whose sum is σ = 5165143200. Its totient is φ = 782487552.

The previous prime is 2125441237. The next prime is 2125441243. The reversal of 2125441240 is 421445212.

It is an interprime number because it is at equal distance from previous prime (2125441237) and next prime (2125441243).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125441243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177771 + ... + 189349.

Almost surely, 22125441240 is an apocalyptic number.

2125441240 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 2125441240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582571600).

2125441240 is an abundant number, since it is smaller than the sum of its proper divisors (3039701960).

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

2125441240 is a wasteful number, since it uses less digits than its factorization.

2125441240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956 (or 11952 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2125441240 is about 46102.5079578107. The cubic root of 2125441240 is about 1285.7297736641.

Adding to 2125441240 its reverse (421445212), we get a palindrome (2546886452).

The spelling of 2125441240 in words is "two billion, one hundred twenty-five million, four hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 353 520 706 1412 1765 2824 3530 4589 7060 9178 11579 14120 18356 22945 23158 36712 45890 46316 57895 91780 92632 115790 150527 183560 231580 301054 463160 602108 752635 1204216 1505270 3010540 4087387 6021080 8174774 16349548 20436935 32699096 40873870 53136031 81747740 106272062 163495480 212544124 265680155 425088248 531360310 1062720620 2125441240