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2040020002620 = 2232517431650189
BaseRepresentation
bin11101101011111010101…
…010101110011100111100
321020000122111112121220100
4131223322222232130330
5231410430110040440
64201101112321100
7300246411625365
oct35537252563474
97200574477810
102040020002620
11717193121116
1228b4526a3190
1311a4b07cb2b2
1470a47986b6c
15380eb616230
hex1dafaaae73c

2040020002620 has 72 divisors (see below), whose sum is σ = 6188425195680. Its totient is φ = 543973288320.

The previous prime is 2040020002609. The next prime is 2040020002627. The reversal of 2040020002620 is 262000200402.

It is a happy number.

2040020002620 is a `hidden beast` number, since 2 + 0 + 40 + 0 + 2 + 0 + 0 + 0 + 2 + 620 = 666.

It is a super-2 number, since 2×20400200026202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2040020002593 and 2040020002602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2040020002627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2812486 + ... + 3462674.

It is an arithmetic number, because the mean of its divisors is an integer number (85950349940).

Almost surely, 22040020002620 is an apocalyptic number.

2040020002620 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040020002620 is an abundant number, since it is smaller than the sum of its proper divisors (4148405193060).

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

2040020002620 is a wasteful number, since it uses less digits than its factorization.

2040020002620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667635 (or 667630 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The spelling of 2040020002620 in words is "two trillion, forty billion, twenty million, two thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17431 34862 52293 69724 87155 104586 156879 174310 209172 261465 313758 348620 522930 627516 650189 784395 1045860 1300378 1568790 1950567 2600756 3137580 3250945 3901134 5851701 6501890 7802268 9752835 11703402 13003780 19505670 23406804 29258505 39011340 58517010 117034020 11333444459 22666888918 34000333377 45333777836 56667222295 68000666754 102001000131 113334444590 136001333508 170001666885 204002000262 226668889180 340003333770 408004000524 510005000655 680006667540 1020010001310 2040020002620