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2740496388 = 22371910931571
BaseRepresentation
bin1010001101011000…
…1010100000000100
321001222201122022020
42203112022200010
521103031341023
61131534203140
7124624556250
oct24326124004
97058648266
102740496388
111186a36553
126459534b0
133489c51c6
141bdd75260
151108d3de3
hexa358a804

2740496388 has 96 divisors (see below), whose sum is σ = 7704560640. Its totient is φ = 740638080.

The previous prime is 2740496321. The next prime is 2740496417. The reversal of 2740496388 is 8836940472.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2740496388.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1743643 + ... + 1745213.

It is an arithmetic number, because the mean of its divisors is an integer number (80255840).

Almost surely, 22740496388 is an apocalyptic number.

2740496388 is a gapful number since it is divisible by the number (28) 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 2740496388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852280320).

2740496388 is an abundant number, since it is smaller than the sum of its proper divisors (4964064252).

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

2740496388 is a wasteful number, since it uses less digits than its factorization.

2740496388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The square root of 2740496388 is about 52349.7506011251. The cubic root of 2740496388 is about 1399.4038938390.

The spelling of 2740496388 in words is "two billion, seven hundred forty million, four hundred ninety-six thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1093 1571 1596 2186 3142 3279 4372 4713 6284 6558 7651 9426 10997 13116 15302 18852 20767 21994 22953 29849 30604 32991 41534 43988 45906 59698 62301 65982 83068 89547 91812 119396 124602 131964 145369 179094 208943 249204 290738 358188 417886 436107 581476 626829 835772 872214 1253658 1717103 1744428 2507316 3434206 5151309 6868412 10302618 12019721 20605236 24039442 32624957 36059163 48078884 65249914 72118326 97874871 130499828 144236652 195749742 228374699 391499484 456749398 685124097 913498796 1370248194 2740496388