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2742084480 = 27351428169
BaseRepresentation
bin1010001101110000…
…1110001110000000
321002002201022202110
42203130032032000
521103433200410
61132032215320
7124644222252
oct24334161600
97062638673
102742084480
111187920723
1264639a540
1334912ccc5
141c0269cd2
15110ae9720
hexa370e380

2742084480 has 64 divisors (see below), whose sum is σ = 8740400400. Its totient is φ = 731222016.

The previous prime is 2742084463. The next prime is 2742084487. The reversal of 2742084480 is 844802472.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742084487) 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 7 ways as a sum of consecutive naturals, for example, 712165 + ... + 716004.

Almost surely, 22742084480 is an apocalyptic number.

2742084480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2742084480 is an abundant number, since it is smaller than the sum of its proper divisors (5998315920).

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

2742084480 is a wasteful number, since it uses less digits than its factorization.

2742084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428191 (or 1428179 counting only the distinct ones).

The product of its (nonzero) digits is 114688, while the sum is 39.

The square root of 2742084480 is about 52364.9164995037. The cubic root of 2742084480 is about 1399.6741554594.

The spelling of 2742084480 in words is "two billion, seven hundred forty-two million, eighty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 1428169 2856338 4284507 5712676 7140845 8569014 11425352 14281690 17138028 21422535 22850704 28563380 34276056 42845070 45701408 57126760 68552112 85690140 91402816 114253520 137104224 171380280 182805632 228507040 274208448 342760560 457014080 548416896 685521120 914028160 1371042240 2742084480