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2640435260 = 225415954577
BaseRepresentation
bin1001110101100001…
…1101100000111100
320211000110000020112
42131120131200330
520401422412020
61114001405152
7122301220661
oct23530354074
96730400215
102640435260
111135503101
126183397b8
1333105c938
141b0969a68
15106c1b2c5
hex9d61d83c

2640435260 has 48 divisors (see below), whose sum is σ = 5776535520. Its totient is φ = 1012930560.

The previous prime is 2640435251. The next prime is 2640435269. The reversal of 2640435260 is 625340462.

2640435260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2640435251) and next prime (2640435269).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640435269) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21092 + ... + 75668.

It is an arithmetic number, because the mean of its divisors is an integer number (120344490).

Almost surely, 22640435260 is an apocalyptic number.

2640435260 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 2640435260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888267760).

2640435260 is an abundant number, since it is smaller than the sum of its proper divisors (3136100260).

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

2640435260 is a wasteful number, since it uses less digits than its factorization.

2640435260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54686 (or 54684 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

The square root of 2640435260 is about 51385.1657582225. The cubic root of 2640435260 is about 1382.1605971520.

The spelling of 2640435260 in words is "two billion, six hundred forty million, four hundred thirty-five thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 59 82 118 164 205 236 295 410 590 820 1180 2419 4838 9676 12095 24190 48380 54577 109154 218308 272885 545770 1091540 2237657 3220043 4475314 6440086 8950628 11188285 12880172 16100215 22376570 32200430 44753140 64400860 132021763 264043526 528087052 660108815 1320217630 2640435260