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2740002740 = 2251011379901
BaseRepresentation
bin1010001101010001…
…0001111110110100
321001221210120010222
42203110101332310
521102420041430
61131515433512
7124620432116
oct24324217664
97057716128
102740002740
111186729682
12645755898
133488815c7
141bdc873b6
151108379e5
hexa3511fb4

2740002740 has 48 divisors (see below), whose sum is σ = 5853983184. Its totient is φ = 1077120000.

The previous prime is 2740002731. The next prime is 2740002767. The reversal of 2740002740 is 472000472.

2740002740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 768287524 + 1971715216 = 27718^2 + 44404^2 .

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, 271790 + ... + 281690.

It is an arithmetic number, because the mean of its divisors is an integer number (121957983).

Almost surely, 22740002740 is an apocalyptic number.

2740002740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2740002740 is an abundant number, since it is smaller than the sum of its proper divisors (3113980444).

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

2740002740 is a wasteful number, since it uses less digits than its factorization.

2740002740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10148 (or 10146 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 26.

The square root of 2740002740 is about 52345.0354857077. The cubic root of 2740002740 is about 1399.3198635127.

It can be divided in two parts, 274000 and 2740, that multiplied together give a square (750760000 = 274002).

The spelling of 2740002740 in words is "two billion, seven hundred forty million, two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 101 137 202 274 404 505 548 685 1010 1370 2020 2740 9901 13837 19802 27674 39604 49505 55348 69185 99010 138370 198020 276740 1000001 1356437 2000002 2712874 4000004 5000005 5425748 6782185 10000010 13564370 20000020 27128740 137000137 274000274 548000548 685000685 1370001370 2740002740