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2742488331 = 3111721372099
BaseRepresentation
bin1010001101110111…
…0000110100001011
321002010110211201220
42203131300310023
521104034111311
61132045013123
7124650523542
oct24335606413
97063424656
102742488331
111188077090
126465541a3
13349241a7b
141c0333159
15110b79206
hexa3770d0b

2742488331 has 48 divisors (see below), whose sum is σ = 4270492800. Its totient is φ = 1552184320.

The previous prime is 2742488321. The next prime is 2742488351. The reversal of 2742488331 is 1338842472.

It is a happy number.

2742488331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2742488331 - 25 = 2742488299 is a prime.

It is a super-2 number, since 2×27424883312 = 15042484491342331122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2742488311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1305520 + ... + 1307618.

It is an arithmetic number, because the mean of its divisors is an integer number (88968600).

Almost surely, 22742488331 is an apocalyptic number.

2742488331 is a deficient number, since it is larger than the sum of its proper divisors (1528004469).

2742488331 is a wasteful number, since it uses less digits than its factorization.

2742488331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2267 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 2742488331 is about 52368.7724794080. The cubic root of 2742488331 is about 1399.7428662113.

The spelling of 2742488331 in words is "two billion, seven hundred forty-two million, four hundred eighty-eight thousand, three hundred thirty-one".

Divisors: 1 3 11 17 33 51 137 187 289 411 561 867 1507 2099 2329 3179 4521 6297 6987 9537 23089 25619 35683 39593 69267 76857 107049 118779 287563 392513 435523 606611 862689 1177539 1306569 1819833 3163193 4888571 6672721 9489579 14665713 20018163 53774281 83105707 161322843 249317121 914162777 2742488331