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2540272296 = 2333725711131
BaseRepresentation
bin1001011101101001…
…0111101010101000
320120000222012111010
42113122113222220
520200302203141
61100022503520
7116643646452
oct22732275250
96500865433
102540272296
111093a101a1
125aa894ba0
1331638cc03
141a15352d2
15ed033416
hex97697aa8

2540272296 has 64 divisors (see below), whose sum is σ = 6548287680. Its totient is φ = 820592640.

The previous prime is 2540272271. The next prime is 2540272303. The reversal of 2540272296 is 6922720452.

It is a super-2 number, since 2×25402722962 = 12905966675650223232, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222651 + ... + 233781.

It is an arithmetic number, because the mean of its divisors is an integer number (102316995).

Almost surely, 22540272296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540272296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274143840).

2540272296 is an abundant number, since it is smaller than the sum of its proper divisors (4008015384).

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

2540272296 is a wasteful number, since it uses less digits than its factorization.

2540272296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11434 (or 11430 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 2540272296 is about 50401.1140353068. The cubic root of 2540272296 is about 1364.4577443341.

The spelling of 2540272296 in words is "two billion, five hundred forty million, two hundred seventy-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 257 296 444 514 771 888 1028 1542 2056 3084 6168 9509 11131 19018 22262 28527 33393 38036 44524 57054 66786 76072 89048 114108 133572 228216 267144 411847 823694 1235541 1647388 2471082 2860667 3294776 4942164 5721334 8582001 9884328 11442668 17164002 22885336 34328004 68656008 105844679 211689358 317534037 423378716 635068074 846757432 1270136148 2540272296