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2340117004680 = 23325713269265547
BaseRepresentation
bin100010000011011001110…
…101111100000110001000
322021201020202222212110100
4202003121311330012020
5301320024423122210
64551011312445400
7331032165225630
oct42033165740610
98251222885410
102340117004680
11822490051504
12319644549860
1313c897760c70
14813959396c0
1540d125865c0
hex220d9d7c188

2340117004680 has 384 divisors, whose sum is σ = 9395300678400. Its totient is φ = 491901659136.

The previous prime is 2340117004679. The next prime is 2340117004681. The reversal of 2340117004680 is 864007110432.

2340117004680 is a `hidden beast` number, since 2 + 3 + 401 + 170 + 0 + 4 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2340117004679) and next prime (2340117004681).

It is a super-2 number, since 2×23401170046802 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2340117004681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8679667 + ... + 8945213.

It is an arithmetic number, because the mean of its divisors is an integer number (24466928850).

Almost surely, 22340117004680 is an apocalyptic number.

2340117004680 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 2340117004680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4697650339200).

2340117004680 is an abundant number, since it is smaller than the sum of its proper divisors (7055183673720).

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

2340117004680 is a wasteful number, since it uses less digits than its factorization.

2340117004680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265853 (or 265846 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2340117004680 in words is "two trillion, three hundred forty billion, one hundred seventeen million, four thousand, six hundred eighty".