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2740402764 = 2232118218429
BaseRepresentation
bin1010001101010111…
…0011101001001100
321001222112212212200
42203111303221030
521103020342024
61131532201500
7124624016301
oct24325635114
97058485780
102740402764
111186982180
12645909290
133489916c8
141bdd4d0a8
151108b62c9
hexa3573a4c

2740402764 has 72 divisors (see below), whose sum is σ = 7566970320. Its totient is φ = 829315200.

The previous prime is 2740402757. The next prime is 2740402811. The reversal of 2740402764 is 4672040472.

It is a happy number.

2740402764 is digitally balanced in base 2 and base 4, because in such bases 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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320902 + ... + 329330.

It is an arithmetic number, because the mean of its divisors is an integer number (105096810).

Almost surely, 22740402764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740402764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3783485160).

2740402764 is an abundant number, since it is smaller than the sum of its proper divisors (4826567556).

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

2740402764 is a wasteful number, since it uses less digits than its factorization.

2740402764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9271 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2740402764 is about 52348.8563771932. The cubic root of 2740402764 is about 1399.3879576406.

It can be divided in two parts, 2740 and 402764, that added together give a palindrome (405504).

The spelling of 2740402764 in words is "two billion, seven hundred forty million, four hundred two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 821 1642 2463 3284 4926 7389 8429 9031 9852 14778 16858 18062 25287 27093 29556 33716 36124 50574 54186 75861 81279 92719 101148 108372 151722 162558 185438 278157 303444 325116 370876 556314 834471 1112628 1668942 3337884 6920209 13840418 20760627 27680836 41521254 62281881 76122299 83042508 124563762 152244598 228366897 249127524 304489196 456733794 685100691 913467588 1370201382 2740402764