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2640460040 = 235599911129
BaseRepresentation
bin1001110101100010…
…0011100100001000
320211000111021020022
42131120203210020
520401424210130
61114002120012
7122301353141
oct23530434410
96730437208
102640460040
11113551a789
12618350008
1333106acba
141b0974ac8
15106c237e5
hex9d623908

2640460040 has 64 divisors (see below), whose sum is σ = 6053184000. Its totient is φ = 1036316160.

The previous prime is 2640460013. The next prime is 2640460049. The reversal of 2640460040 is 400640462.

It is a junction number, because it is equal to n+sod(n) for n = 2640459991 and 2640460009.

It is not an unprimeable number, because it can be changed into a prime (2640460049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338196 + ... + 2339324.

It is an arithmetic number, because the mean of its divisors is an integer number (94581000).

Almost surely, 22640460040 is an apocalyptic number.

2640460040 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 2640460040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3026592000).

2640460040 is an abundant number, since it is smaller than the sum of its proper divisors (3412723960).

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

2640460040 is a wasteful number, since it uses less digits than its factorization.

2640460040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 2640460040 is about 51385.4068778287. The cubic root of 2640460040 is about 1382.1649209129.

The spelling of 2640460040 in words is "two billion, six hundred forty million, four hundred sixty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 59 118 236 295 472 590 991 1129 1180 1982 2258 2360 3964 4516 4955 5645 7928 9032 9910 11290 19820 22580 39640 45160 58469 66611 116938 133222 233876 266444 292345 333055 467752 532888 584690 666110 1118839 1169380 1332220 2237678 2338760 2664440 4475356 5594195 8950712 11188390 22376780 44753560 66011501 132023002 264046004 330057505 528092008 660115010 1320230020 2640460040