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2874629680 = 2451310127367
BaseRepresentation
bin1010101101010111…
…0101111000110000
321102100010022120221
42223111311320300
521341401122210
61153125142424
7131143643356
oct25325657060
97370108527
102874629680
11124572090a
1268285aa14
1336a72a110
141d3acd7d6
1511c57c1da
hexab575e30

2874629680 has 80 divisors (see below), whose sum is σ = 7269159744. Its totient is φ = 1050854400.

The previous prime is 2874629657. The next prime is 2874629687. The reversal of 2874629680 is 869264782.

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 (52).

It is not an unprimeable number, because it can be changed into a prime (2874629687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91357 + ... + 118723.

Almost surely, 22874629680 is an apocalyptic number.

2874629680 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 2874629680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3634579872).

2874629680 is an abundant number, since it is smaller than the sum of its proper divisors (4394530064).

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

2874629680 is a wasteful number, since it uses less digits than its factorization.

2874629680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27494 (or 27488 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 52.

The square root of 2874629680 is about 53615.5731108043. The cubic root of 2874629680 is about 1421.8724356626.

The spelling of 2874629680 in words is "two billion, eight hundred seventy-four million, six hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 101 104 130 202 208 260 404 505 520 808 1010 1040 1313 1616 2020 2626 4040 5252 6565 8080 10504 13130 21008 26260 27367 52520 54734 105040 109468 136835 218936 273670 355771 437872 547340 711542 1094680 1423084 1778855 2189360 2764067 2846168 3557710 5528134 5692336 7115420 11056268 13820335 14230840 22112536 27640670 28461680 35932871 44225072 55281340 71865742 110562680 143731484 179664355 221125360 287462968 359328710 574925936 718657420 1437314840 2874629680