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2400530254340 = 2251721572645329
BaseRepresentation
bin100010111011101010110…
…000001100101000000100
322111111012002011221011112
4202323222300030220010
5303312241221114330
65034442142224152
7335301243331061
oct42735260145004
98444162157145
102400530254340
11846071824109
123292a4885058
131454a49bb47a
1484287241c68
154269b218795
hex22eeac0ca04

2400530254340 has 72 divisors (see below), whose sum is σ = 5389203833160. Its totient is φ = 897972461568.

The previous prime is 2400530254321. The next prime is 2400530254363. The reversal of 2400530254340 is 434520350042.

It can be written as a sum of positive squares in 12 ways, for example, as 128691517696 + 2271838736644 = 358736^2 + 1507262^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2400530254297 and 2400530254306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415205 + ... + 2230124.

Almost surely, 22400530254340 is an apocalyptic number.

2400530254340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400530254340 is an abundant number, since it is smaller than the sum of its proper divisors (2988673578820).

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

2400530254340 is a wasteful number, since it uses less digits than its factorization.

2400530254340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645529 (or 2645510 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 2400530254340 in words is "two trillion, four hundred billion, five hundred thirty million, two hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 157 170 289 314 340 578 628 785 1156 1445 1570 2669 2890 3140 5338 5780 10676 13345 26690 45373 53380 90746 181492 226865 453730 907460 2645329 5290658 10581316 13226645 26453290 44970593 52906580 89941186 179882372 224852965 415316653 449705930 764500081 830633306 899411860 1529000162 1661266612 2076583265 3058000324 3822500405 4153166530 7060383101 7645000810 8306333060 14120766202 15290001620 28241532404 35301915505 70603831010 120026512717 141207662020 240053025434 480106050868 600132563585 1200265127170 2400530254340