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2780649864 = 233361211039
BaseRepresentation
bin1010010110111101…
…0101100110001000
321011210021122112000
42211233111212020
521143321243424
61135530551000
7125623063626
oct24557254610
97153248460
102780649864
1111a7671443
12657298460
13354113865
141c5428516
151141b63c9
hexa5bd5988

2780649864 has 64 divisors (see below), whose sum is σ = 7850688000. Its totient is φ = 911684160.

The previous prime is 2780649857. The next prime is 2780649869. The reversal of 2780649864 is 4689460872.

2780649864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2780649864.

It is not an unprimeable number, because it can be changed into a prime (2780649869) 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, 92344 + ... + 118695.

It is an arithmetic number, because the mean of its divisors is an integer number (122667000).

Almost surely, 22780649864 is an apocalyptic number.

2780649864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2780649864 is an abundant number, since it is smaller than the sum of its proper divisors (5070038136).

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

2780649864 is a wasteful number, since it uses less digits than its factorization.

2780649864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211115 (or 211105 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 2780649864 is about 52731.8676323909. The cubic root of 2780649864 is about 1406.2054242226.

The spelling of 2780649864 in words is "two billion, seven hundred eighty million, six hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 549 732 1098 1464 1647 2196 3294 4392 6588 13176 211039 422078 633117 844156 1266234 1688312 1899351 2532468 3798702 5064936 5698053 7597404 11396106 12873379 15194808 22792212 25746758 38620137 45584424 51493516 77240274 102987032 115860411 154480548 231720822 308961096 347581233 463441644 695162466 926883288 1390324932 2780649864