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2002640664240 = 243252781445367
BaseRepresentation
bin11101001001000110101…
…011110111011010110000
321002110011110201111022100
4131021012223313122300
5230302402002223430
64132000031340400
7264454205531436
oct35110653673260
97073143644270
102002640664240
1170235149aa27
12284160381700
13116b046742a8
146ccdd478d56
153715ec41960
hex1d246af76b0

2002640664240 has 60 divisors (see below), whose sum is σ = 6725534899824. Its totient is φ = 534037510272.

The previous prime is 2002640664223. The next prime is 2002640664287. The reversal of 2002640664240 is 424660462002.

2002640664240 is a `hidden beast` number, since 2 + 0 + 0 + 2 + 6 + 4 + 0 + 6 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 2002640664195 and 2002640664204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1390721964 + ... + 1390723403.

Almost surely, 22002640664240 is an apocalyptic number.

2002640664240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002640664240 is an abundant number, since it is smaller than the sum of its proper divisors (4722894235584).

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

2002640664240 is a wasteful number, since it uses less digits than its factorization.

2002640664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2781445386 (or 2781445377 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 2002640664240 in words is "two trillion, two billion, six hundred forty million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2781445367 5562890734 8344336101 11125781468 13907226835 16688672202 22251562936 25033008303 27814453670 33377344404 41721680505 44503125872 50066016606 55628907340 66754688808 83443361010 100132033212 111257814680 125165041515 133509377616 166886722020 200264066424 222515629360 250330083030 333773444040 400528132848 500660166060 667546888080 1001320332120 2002640664240