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2690779872 = 2531111232269
BaseRepresentation
bin1010000001100010…
…0000101011100000
320221112011210001210
42200120200223200
521002314423442
61123000430120
7123452152164
oct24030405340
96845153053
102690779872
111160969820
12631178340
1333b608b51
141b7512ca4
1510b36319c
hexa0620ae0

2690779872 has 96 divisors (see below), whose sum is σ = 7715675520. Its totient is φ = 814302720.

The previous prime is 2690779841. The next prime is 2690779909. The reversal of 2690779872 is 2789770962.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1184754 + ... + 1187022.

It is an arithmetic number, because the mean of its divisors is an integer number (80371620).

Almost surely, 22690779872 is an apocalyptic number.

2690779872 is a gapful number since it is divisible by the number (22) 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 2690779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3857837760).

2690779872 is an abundant number, since it is smaller than the sum of its proper divisors (5024895648).

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

2690779872 is a wasteful number, since it uses less digits than its factorization.

2690779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3416 (or 3408 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 57.

The square root of 2690779872 is about 51872.7276321575. The cubic root of 2690779872 is about 1390.8898037877.

The spelling of 2690779872 in words is "two billion, six hundred ninety million, seven hundred seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1123 2246 2269 3369 4492 4538 6738 6807 8984 9076 12353 13476 13614 17968 18152 24706 24959 26952 27228 35936 36304 37059 49412 49918 53904 54456 72608 74118 74877 98824 99836 107808 108912 148236 149754 197648 199672 217824 296472 299508 395296 399344 592944 599016 798688 1185888 1198032 2396064 2548087 5096174 7644261 10192348 15288522 20384696 28028957 30577044 40769392 56057914 61154088 81538784 84086871 112115828 122308176 168173742 224231656 244616352 336347484 448463312 672694968 896926624 1345389936 2690779872