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2742532780 = 2251338327541
BaseRepresentation
bin1010001101110111…
…1011101010101100
321002010120002201011
42203131323222230
521104042022110
61132045555004
7124651100251
oct24335735254
97063502634
102742532780
1111880a7519
12646575a64
13349259080
141c0345428
15110b8748a
hexa377baac

2742532780 has 48 divisors (see below), whose sum is σ = 6218763264. Its totient is φ = 1009946880.

The previous prime is 2742532777. The next prime is 2742532781. The reversal of 2742532780 is 872352472.

It is not an unprimeable number, because it can be changed into a prime (2742532781) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85810 + ... + 113350.

It is an arithmetic number, because the mean of its divisors is an integer number (129557568).

Almost surely, 22742532780 is an apocalyptic number.

2742532780 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 2742532780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109381632).

2742532780 is an abundant number, since it is smaller than the sum of its proper divisors (3476230484).

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

2742532780 is a wasteful number, since it uses less digits than its factorization.

2742532780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27946 (or 27944 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 40.

The square root of 2742532780 is about 52369.1968622777. The cubic root of 2742532780 is about 1399.7504283017.

The spelling of 2742532780 in words is "two billion, seven hundred forty-two million, five hundred thirty-two thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 383 766 1532 1915 3830 4979 7660 9958 19916 24895 27541 49790 55082 99580 110164 137705 275410 358033 550820 716066 1432132 1790165 3580330 7160660 10548203 21096406 42192812 52741015 105482030 137126639 210964060 274253278 548506556 685633195 1371266390 2742532780