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2260001124640 = 25572017858147
BaseRepresentation
bin100000111000110010100…
…100000111000100100000
322000001110100211110221001
4200320302210013010200
5244011440241442030
64450121415241344
7322164635412430
oct40706244070440
98001410743831
102260001124640
117a1508797aa6
12306005979254
1313516a61559c
147b5556382c0
153dbc3d27cca
hex20e32907120

2260001124640 has 48 divisors (see below), whose sum is σ = 6102003039552. Its totient is φ = 774857528064.

The previous prime is 2260001124631. The next prime is 2260001124671. The reversal of 2260001124640 is 464211000622.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2260001124599 and 2260001124608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1008927954 + ... + 1008930193.

It is an arithmetic number, because the mean of its divisors is an integer number (127125063324).

Almost surely, 22260001124640 is an apocalyptic number.

2260001124640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2260001124640 is an abundant number, since it is smaller than the sum of its proper divisors (3842001914912).

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

2260001124640 is a wasteful number, since it uses less digits than its factorization.

2260001124640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2017858169 (or 2017858161 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The spelling of 2260001124640 in words is "two trillion, two hundred sixty billion, one million, one hundred twenty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 2017858147 4035716294 8071432588 10089290735 14125007029 16142865176 20178581470 28250014058 32285730352 40357162940 56500028116 64571460704 70625035145 80714325880 113000056232 141250070290 161428651760 226000112464 282500140580 322857303520 452000224928 565000281160 1130000562320 2260001124640