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2580650240 = 2857293983
BaseRepresentation
bin1001100111010001…
…1001100100000000
320122211221121121112
42121310121210000
520241121301430
61104024142452
7120644110430
oct23164314400
96584847545
102580650240
1111047897a3
12600307a28
1332185979c
141a6a462c0
1510185c195
hex99d19900

2580650240 has 144 divisors (see below), whose sum is σ = 7095852288. Its totient is φ = 880877568.

The previous prime is 2580650239. The next prime is 2580650311. The reversal of 2580650240 is 420560852.

It is a super-2 number, since 2×25806502402 = 13319511322424115200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2580650197 and 2580650206.

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, 2624789 + ... + 2625771.

It is an arithmetic number, because the mean of its divisors is an integer number (49276752).

Almost surely, 22580650240 is an apocalyptic number.

2580650240 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 2580650240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547926144).

2580650240 is an abundant number, since it is smaller than the sum of its proper divisors (4515202048).

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

2580650240 is an equidigital number, since it uses as much as digits as its factorization.

2580650240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 2580650240 is about 50800.1007873016. The cubic root of 2580650240 is about 1371.6491834252.

The spelling of 2580650240 in words is "two billion, five hundred eighty million, six hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 293 320 448 560 586 640 896 983 1120 1172 1280 1465 1792 1966 2051 2240 2344 2930 3932 4102 4480 4688 4915 5860 6881 7864 8204 8960 9376 9830 10255 11720 13762 15728 16408 18752 19660 20510 23440 27524 31456 32816 34405 37504 39320 41020 46880 55048 62912 65632 68810 75008 78640 82040 93760 110096 125824 131264 137620 157280 164080 187520 220192 251648 262528 275240 288019 314560 328160 375040 440384 525056 550480 576038 629120 656320 880768 1100960 1152076 1258240 1312640 1440095 1761536 2016133 2201920 2304152 2625280 2880190 4032266 4403840 4608304 5760380 8064532 8807680 9216608 10080665 11520760 16129064 18433216 20161330 23041520 32258128 36866432 40322660 46083040 64516256 73732864 80645320 92166080 129032512 161290640 184332160 258065024 322581280 368664320 516130048 645162560 1290325120 2580650240