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2400006600240 = 243511878424623
BaseRepresentation
bin100010111011001011100…
…010100111011000110000
322111102211120211112210020
4202323023202213120300
5303310203142201430
65034314154403440
7335252254335534
oct42731342473060
98442746745706
102400006600240
11845923181027
12329179430580
13145420373982
148423788dbc4
154266a27bb10
hex22ecb8a7630

2400006600240 has 80 divisors (see below), whose sum is σ = 7446289264128. Its totient is φ = 639462508288.

The previous prime is 2400006600223. The next prime is 2400006600241. The reversal of 2400006600240 is 420066000042.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2400006600240.

It is not an unprimeable number, because it can be changed into a prime (2400006600241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3927432 + ... + 4497191.

Almost surely, 22400006600240 is an apocalyptic number.

2400006600240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2400006600240 is an abundant number, since it is smaller than the sum of its proper divisors (5046282663888).

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

2400006600240 is a wasteful number, since it uses less digits than its factorization.

2400006600240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425826 (or 8425820 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The spelling of 2400006600240 in words is "two trillion, four hundred billion, six million, six hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1187 2374 3561 4748 5935 7122 9496 11870 14244 17805 18992 23740 28488 35610 47480 56976 71220 94960 142440 284880 8424623 16849246 25273869 33698492 42123115 50547738 67396984 84246230 101095476 126369345 134793968 168492460 202190952 252738690 336984920 404381904 505477380 673969840 1010954760 2021909520 10000027501 20000055002 30000082503 40000110004 50000137505 60000165006 80000220008 100000275010 120000330012 150000412515 160000440016 200000550020 240000660024 300000825030 400001100040 480001320048 600001650060 800002200080 1200003300120 2400006600240